A106037 -id:A106037 - cp's OEIS frontend

A160274 Highly composite numbers A002182(n) with the property that A002182(n+1)/A002182(n) >= A002182(k+1)/A002182(k) for all k>n.

1, 2, 6, 12, 60, 360, 2520

Offset: 1

Anonymous, May 07 2009

			2520 is a term of this sequence because 2520 is a highly composite number (A002182(18)), A002182(19)/A002182(18) = 2, and 2 >= A002182(k+1)/A002182(k) for all k>18. (In fact, 2 > A002182(k+1)/A002182(k) for all k>18.)

Cf. A002182, A002201, A072938, A106037, A094348, A003418, A002110.

A352318 Numbers k such that 2520*k is a highly composite number.

Original entry on oeis.org

1, 2, 3, 4, 6, 8, 10, 11, 18, 20, 22, 33, 44, 66, 88, 110, 132, 198, 220, 264, 286, 429, 572, 858, 1144, 1430, 1716, 2574, 2860, 3432, 4290, 5720, 6864, 8580, 12870, 14586, 17160, 24310, 29172, 43758, 48620, 58344, 72930, 97240, 116688, 145860, 218790, 277134

Offset: 1

J. Lowell, Mar 11 2022

nonn

2520 is the largest highly composite number that divides all larger highly composite numbers.

			2520*5 = 12600 is not a highly composite number, so 5 is not a term.

Cf. A002182, A106037.

a(n) = A002182(n+17) / 2520. - Jinyuan Wang, Mar 11 2022

More terms from Jinyuan Wang, Mar 11 2022

cp's OEIS Frontend

A160274 Highly composite numbers A002182(n) with the property that A002182(n+1)/A002182(n) >= A002182(k+1)/A002182(k) for all k>n.

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A352318 Numbers k such that 2520*k is a highly composite number.

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