337500
domain: N
Appears in sequences
- Integers of the form Product p_j^k_j = Product k_j^p_j; p_j in A000040.at n=19A008478
- Denominator of sum of -5th powers of divisors of n.at n=29A017674
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*6^j.at n=23A038248
- Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*5^j.at n=25A038259
- Numbers k such that if k = Product p_i^e_i then p_i = e_i for all i.at n=7A048102
- Numbers k such that, in the prime factorization of k, the product of exponents equals the product of prime factors.at n=25A054412
- Numbers k such that Sum_i ( e(i)/p(i) ) is an integer, where the prime factorization of k is Product_i ( p(i)^e(i) ).at n=30A072873
- Goedel encoding of the prime factors of n, in increasing order and repeated according to multiplicity.at n=29A074736
- a(n) = Product_{i=1..n} prime(i)^prime(i).at n=2A076265
- Numbers whose 3 prime powers are a permutation of each other. Numbers with 3 distinct prime factors whose 3 exponents are a permutation of the 3 bases.at n=6A113620
- Numbers whose prime factors are raised to the powers of themselves.at n=3A113853
- Numbers of the form Product_i p_i^e_i, where the p_i are distinct primes and the e_i are a permutation of the p_i.at n=18A122406
- a(p_1^e_1*p_2^e_2*.....*p_m^e_m) = (p_1^p_1)^e_1*(p_2^p^2)^e_2*.....*(p_m^p_m)^e_m where p_1^e_1*p_2^e_2*.....*p_m^e_m is the prime decomposition of n.at n=29A133482
- Numbers that are products of distinct terms in A000312.at n=13A156223
- Numbers n such that 10^11 + n^2 is a square.at n=6A180974
- Numbers with prime factorization p^2*q^3*r^5 where p, q, and r are distinct primes.at n=17A190470
- Numbers n for which n=(n'' mod n'), where n' and n'' are the first and second arithmetic derivative of n.at n=31A213241
- Numbers such that (sum + product) of all their prime factors equals (sum + product) of all exponents in their prime factorization.at n=30A272818
- Numbers m such that Product(1 + p_i) = Product(1 + e_i), where m = Product((p_i)^e_i).at n=36A272858
- Numbers m such that sigma(Product(p_j)) = sigma(Product(e_j)), where m = Product((p_i)^e_i) and sigma = A000203.at n=31A272859