A069650 -id:A069650 - cp's OEIS frontend

A066150 Maximal number of divisors of any n-digit number.

4, 12, 32, 64, 128, 240, 448, 768, 1344, 2304, 4032, 6720, 10752, 17280, 26880, 41472, 64512, 103680, 161280, 245760, 368640, 552960, 860160, 1290240, 1966080, 2764800, 4128768, 6193152, 8957952, 13271040, 19660800, 28311552, 41287680, 59719680, 88473600, 127401984, 181665792, 264241152, 382205952, 530841600

Offset: 1

Joseph L. Pe, Dec 12 2001

			a(1) = 4 since 8 has 4 divisors and that is the record for 1-digit numbers.

Amiram Eldar, Table of n, a(n) for n = 1..1000

Cf. A000005, A066151, A069650,

Cf. A130130 (minimal number of divisors of any n-digit number). [Jaroslav Krizek, Jul 18 2010]

a066150(m,n) = local(d,a,k,b); for(d=m,n,a=0; for(k=10^d,10^(d+1)-1,b =numdiv(k); if(b>a,a=b)); print1(a,","))
a066150(0,6)

a(n) = largest integer m such that A005179(m) < 10^n. - Max Alekseyev, Apr 29 2010

a(n) = A000005(A066151(n)). - Amiram Eldar, Jul 02 2019

One more term from Klaus Brockhaus, Dec 13 2001
Further terms from Vladeta Jovovic and Vladimir Baltic, Dec 16 2001
Extended further by David Wasserman, Jan 25 2002

A240544 Table (read by rows) of all k-digit positive integers (in ascending order) with maximum number of divisors A066150(k).

Original entry on oeis.org

6, 8, 60, 72, 84, 90, 96, 840, 7560, 9240, 83160, 98280, 720720, 831600, 942480, 982800, 997920, 8648640, 73513440, 82162080, 86486400, 91891800, 98017920, 99459360, 735134400, 821620800, 931170240, 994593600, 6983776800, 8454045600, 9311702400, 9448639200, 9777287520, 97772875200, 963761198400

Offset: 1

Martin Renner, Apr 07 2014

The number of elements in row k is A240543(k).

			The table T(k,m), m = 1..A240543(k), begins
6, 8;
60, 72, 84, 90, 96;
840;
etc.

Kevin P. Thompson, Table of n, a(n) for n = 1..52

Cf. A066151, A069650, A240543.

a(29)-a(35) from Giovanni Resta, Apr 08 2014

A240543 Number of n-digit positive integers with maximum number of divisors A066150(n).

Original entry on oeis.org

2, 5, 1, 2, 2, 5, 1, 6, 4, 5, 1, 1, 2, 1, 2, 3, 7, 2

Offset: 1

Martin Renner, Apr 07 2014

			a(1) = 2, since two 1-digit numbers have the maximum number of divisors 4 = #{1, 2, 3, 6} = #{1, 2, 4, 8}.
a(2) = 5, since five 2-digit numbers have the maximum number of divisors 12 = #{1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60} = #{1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72} = #{1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84} = #{1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90} = #{1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96}.

Cf. A066151, A069650, A240544.

a(10)-a(12) from Giovanni Resta, Apr 08 2014

a(13)-a(18) from Kevin P. Thompson, Sep 04 2022

cp's OEIS Frontend

A066150 Maximal number of divisors of any n-digit number.

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A240544 Table (read by rows) of all k-digit positive integers (in ascending order) with maximum number of divisors A066150(k).

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A240543 Number of n-digit positive integers with maximum number of divisors A066150(n).

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