A083867 -id:A083867 - cp's OEIS frontend

A084324 Palindromic numbers that set a new record for number of palindromic divisors.

1, 2, 4, 6, 44, 66, 484, 616, 2112, 2772, 23232, 46464, 66066, 88088, 213312, 234432, 279972, 666666, 888888, 4228224, 4888884, 21333312, 42666624, 63999936, 213525312, 234666432, 2154664512, 21354645312, 42464846424, 213354453312, 233556655332, 425142241524

Offset: 1

Jason Earls, Jun 21 2003

Amiram Eldar, Table of n, a(n) for n = 1..44

Cf. A002113, A083867.

More terms from David Wasserman, Dec 14 2004

a(31)-a(32) from Amiram Eldar, May 29 2021

A083868 Number of palindromic divisors d of n-th decimal palindrome m, such that 9

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 3, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 5, 1, 1, 1, 0, 3, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 3, 0, 1, 0, 2, 4, 1, 0, 3, 0, 2, 0, 0, 1, 0, 0, 1

Offset: 1

Reinhard Zumkeller, May 07 2003

			n=116, divisors of A002113(116) = 1771 are
{1,7,11,23,77,161,253,1771}, 6 of them are palindromes {1,7,11,77,161,1771}
and three are >9 and <1771: {11,77,161}, therefore
a(116) = 3 < A083867(116) = 6 < A076888(116) = 8.

Cf. A078337, A083867, A076888, A000005, A002113.

A083870 Number of pairs (x,y) of palindromes such that n-th decimal palindrome = x*y and 1<=x<=y.

Original entry on oeis.org

1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 3, 2, 4, 2, 4, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 3, 1, 1, 2, 3, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 3, 2, 2, 2, 1, 4, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 1, 2, 1, 3, 1, 2, 1, 4, 1, 3, 1, 1, 2, 1, 1, 2

Offset: 1

Reinhard Zumkeller, May 07 2003

			A002113(132)=3333 = 1*3333 = 3*1111 = 11*303 = 33*101, therefore
a(132)=4.

Cf. A083867, A038548, A002113.

cp's OEIS Frontend

A084324 Palindromic numbers that set a new record for number of palindromic divisors.

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A083868 Number of palindromic divisors d of n-th decimal palindrome m, such that 9

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A083870 Number of pairs (x,y) of palindromes such that n-th decimal palindrome = x*y and 1<=x<=y.

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