42624
domain: N
Appears in sequences
- Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).at n=36A039752
- Largest palindromic substring in 2^n.at n=50A046260
- Largest palindromic substring in 4^n.at n=25A046262
- Palindromes with exactly 10 prime factors (counted with multiplicity).at n=2A046336
- Number of closed walks of length n on a 3 X 3 X 3 Rubik's Cube.at n=6A061713
- a(1) = 3, a(n) = smallest nontrivial palindromic multiple of a(n-1). a(n) is not equal to a(n-1) or a concatenation of a(n-1) with itself.at n=6A083149
- a(1) = 1; a palindrome is included in the sequence if it has a prime signature that is different from all previous terms.at n=33A083433
- Palindromes in A085936.at n=16A085937
- Palindromes which are divisible by the product of their digits.at n=21A117057
- Palindromes which are divisible by the product and by the sum of their digits.at n=16A117228
- Biquadrateful (i.e., not biquadrate-free) palindromes.at n=26A133514
- Numbers k > 9 with digits different from 0 and 1 such that both the sum of digits and the product of digits divide k.at n=16A172424
- Numbers with prime factorization pq^2r^7.at n=15A190466
- The Wiener index of the tetrameric 1,3-adamantane TA(n) (see the Fath-Tabar et al. reference).at n=8A216106
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 493", based on the 5-celled von Neumann neighborhood.at n=38A272545
- Numbers k such that the product of their digits divides both k and R(k), where R(k) is the digits reverse of k.at n=41A277856
- Values of n such that prime(n) does not divide any 10-digit pandigital number (i.e. any value in A050278).at n=31A292703
- Number of integer partitions of n that are empty, have smallest part not dividing all the others, or greatest part not divisible by all the others.at n=41A343346
- Zuckerman numbers which when divided by product of their digits, give a quotient which is also a Zuckerman number.at n=27A343681
- Zuckerman numbers which when divided by the product of their digits, give a quotient which is a Niven (Harshad) number.at n=46A343682