A153494 a(n) is smallest number greater than n that, when compared divisors of a(n) with divisors of n, the d-th smallest divisor of a(n) is always <= the d-th smallest divisor of n for all values of d <= the number of divisors of n.

2, 4, 4, 6, 6, 12, 8, 12, 10, 12, 12, 24, 14, 16, 16, 18, 18, 24, 20, 24, 24, 24, 24, 48, 26, 28, 28, 30, 30, 36, 32, 36, 36, 36, 36, 48, 38, 40, 40, 48, 42, 48, 44, 48, 48, 48, 48, 60, 50, 54, 52, 54, 54, 60, 56, 60, 60, 60, 60, 120, 62, 64, 64, 66, 66, 72, 68, 72, 70, 72, 72

Offset

1,1

Links

Table of n, a(n) for n=1..71.

Example

a(24) cannot be 36 because the 6th smallest divisor of 24 is 8 and the 6th smallest divisor of 36 is 9 > 8.

Crossrefs

Sequence in context: A251557 A231901 A135974 * A352749 A205404 A322372

Adjacent sequences: A153491 A153492 A153493 * A153495 A153496 A153497

Keyword

nonn

Author

J. Lowell, Dec 27 2008

Extensions

More terms from Max Alekseyev, May 11 2010

Status

approved