54675

Appears in sequences

• Numbers of the form 3^i*5^j with i, j >= 0.at n=42A003593
• Numbers whose prime factors are 3 and 5.at n=26A033849
• Odd numbers divisible by exactly 9 primes (counted with multiplicity).at n=3A046322
• Numerator of Product_{2 <= p < 2*n} (2*n - p)/p.at n=15A084762
• Numbers that factorize into a prime number of factors all raised to different prime exponents and no number appears both as an exponent and as a prime factor.at n=15A114131
• Numbers such that each of the first 2j primes appears exactly once in the prime factorization, either as factor or exponent.at n=8A114132
• Odd numbers k such that A166100((k-1)/2)/k is not an integer.at n=36A166102
• Numbers with prime signature {7,2}, i.e., of form p^7*q^2 with p and q distinct primes.at n=8A179689
• G.f.: (1+x+x^2+2*x^5-2*x^10)/(1-3*x^3).at n=31A213933
• Least odd integer of each prime signature ordered by prime signatures occurrence.at n=41A233819
• Numbers such that (sum + product) of all their prime factors equals (sum + product) of all exponents in their prime factorization.at n=19A272818
• Numbers m such that Product(1 + p_i) = Product(1 + e_i), where m = Product((p_i)^e_i).at n=21A272858
• Numbers m such that sigma(Product(p_j)) = sigma(Product(e_j)), where m = Product((p_i)^e_i) and sigma = A000203.at n=18A272859
• Numbers n such that A279513(n) is a primorial number (A002110).at n=45A284889
• Odd exceptional numbers: odd k such that A005179(k) < A037019(k).at n=11A331613
• Numbers > 1 that are not a prime power and whose prime indices and exponents are all themselves prime numbers.at n=30A352518
• Antidiagonal sums of A343053.at n=27A377521
• Powerful numbers k that are not prime powers such that there exist no numbers m such that rad(m) | k and Omega(m) > Omega(k), where rad = A007947 and Omega = A001222.at n=20A377591
• Odd Achilles numbers.at n=35A390953