cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 18 results. Next

A018261 Divisors of 48.

Original entry on oeis.org

1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Offset: 1

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Author

N. J. A. Sloane

Keywords

Comments

48 is a highly composite number: A002182(8)=48. - Reinhard Zumkeller, Jun 21 2010
These are the orders, without repetition, of the finite subgroups of GL_3(Z); see Conway and Sloane. - Hal M. Switkay, Nov 06 2023

Links

Crossrefs

Cf. A018253, A018256, A018266, A018293, A018321, A018350, A018412, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864.

Programs

A018412 Divisors of 360.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

Comment from J. Lowell: Regular polygons with n sides in which internal angles have integral number of degrees (n >= 3).
360 is a highly composite number: A002182(13) = 360. - Reinhard Zumkeller, Jun 21 2010
There are 22209 ways to represent 360 as a sum of its distinct divisors (A033630). That's more than any smaller number, hence 360 is in A065218. - Alonso del Arte, Oct 09 2017

Links

Crossrefs

Cf. A018253, A018256, A018261, A018266, A018293, A018321, A018350, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864.

Programs

A018256 Divisors of 36.

Original entry on oeis.org

1, 2, 3, 4, 6, 9, 12, 18, 36
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

36 is a highly composite number: A002182(7)=36. - Reinhard Zumkeller, Jun 21 2010
Numbers with all prime indices and exponents <= 2. Reversing inequalities gives A062739, strict A353502. - Gus Wiseman, Jun 28 2022

Links

Crossrefs

Cf. A018253, A018261, A018266, A018293, A018321, A018350, A018412, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864.
Cf. A003586, A004709, A018338, A018710, A062739, A353502.

Programs

Formula

Intersection of A003586 (3-smooth) and A004709 (cubefree). - Gus Wiseman, Jun 28 2022

A018266 Divisors of 60.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

Sequence is finite with last term a(12) = 60; A000005(60) = 12. - Reinhard Zumkeller, Dec 08 2009.
60 is a highly composite number: A002182(9) = 60. - Reinhard Zumkeller, Jun 21 2010
There are 35 ways to partition 60 as a sum of its distinct divisors (see A033630). This is more than any smaller number (hence 60 is listed in A065218). - Alonso del Arte, Oct 12 2017

Links

Crossrefs

Cf. A035303, A171425. - Reinhard Zumkeller, Dec 08 2009
Cf. A018253, A018256, A018261, A018293, A018321, A018350, A018412, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864. - Reinhard Zumkeller, Jun 21 2010

Programs

Formula

a(n) = n + floor((n-1)/6)*(60/(13-n)-n). - Aaron J Grech, Aug 11 2024

A018609 Divisors of 720.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

720 is a highly composite number: A002182(14)=720. - Reinhard Zumkeller, Jun 21 2010

Links

Crossrefs

Cf. A018253, A018256, A018261, A018266, A018293, A018321, A018350, A018412, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864. - Reinhard Zumkeller, Jun 21 2010

Programs

A165412 Divisors of 2520.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
Offset: 1

Views

Author

Reinhard Zumkeller, Sep 17 2009

Keywords

Comments

2520 is the largest and last of most highly composite numbers = A072938(7) = A002182(18) = 2520;
a(A000005(2520)) = a(48) = 2520 is the last term.
A242627(2520*n) = 9. - Reinhard Zumkeller, Jul 16 2014

Links

Crossrefs

Cf. A018336, A018357, A018388, A018412, A018444, A018490, A018559, and A018676 are subsets.
Cf. A018253, A018256, A018261, A018266, A018293, A018321, A018350, A018609, A178877, A178878, A178858, A178859, A178860, A178861, A178862, A178863, A178864.

Programs

A178864 Divisors of 27720.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 55, 56, 60, 63, 66, 70, 72, 77, 84, 88, 90, 99, 105, 110, 120, 126, 132, 140, 154, 165, 168, 180, 198, 210, 220, 231, 252, 264, 280, 308, 315, 330, 360, 385, 396, 420
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 21 2010

Keywords

Comments

27720 is a highly composite number: A002182(25)=27720;
the sequence is finite with A002183(25)=96 terms: a(96)=27720.

Links

Crossrefs

Cf. A018253, A018256, A018261, A018266, A018293, A018321, A018350, A018412, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863.

Programs

A018293 Divisors of 120.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

120 is a highly composite number: A002182(10) = 120. - Reinhard Zumkeller, Jun 21 2010
120 is the first 3-perfect number: A005820(1) = 120. - Michel Marcus, Nov 21 2015
There are 279 ways to partition 120 as a sum of its distinct divisors (see A033630). This is more than any smaller number (hence 120 is listed in A065218). - Alonso del Arte, Oct 12 2017

Links

Crossrefs

Cf. A018253, A018256, A018261, A018266, A018321, A018350, A018412, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864. - Reinhard Zumkeller, Jun 21 2010

Programs

A018321 Divisors of 180.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

These divisors represent a special case of the "nice angles" discussed at the Geometry Center when bending generating triangles to construct polyhedra (link given below). - Alford Arnold, Apr 16 2000
180 is a highly composite number: A002182(11) = 180. - Reinhard Zumkeller, Jun 21 2010
There are 752 ways to partition 180 as a sum of some of its distinct divisors (see A033630). This is more than any smaller number (hence 180 is listed in A065218). - Alonso del Arte, Sep 20 2017

Links

Crossrefs

Cf. A018253, A018256, A018261, A018266, A018293, A018412, A018350, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864.

Programs

A018350 Divisors of 240.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

240 is a highly composite number: A002182(12) = 240. - Reinhard Zumkeller, Jun 21 2010
There are 2158 ways to partition 240 as a sum of some of its distinct divisors (see A033630). This is more than any smaller number (hence 240 is listed in A065218). - Alonso del Arte, Dec 20 2017

Links

Crossrefs

Cf. A018253, A018256, A018261, A018266, A018293, A018321, A018412, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864.

Programs

Showing 1-10 of 18 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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