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The first: 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100 (sequence A001597 in the OEIS). 1 is sometimes included. A powerful number (also called squareful ) has multiplicity above 1 for all prime factors.
factors d(n) primorial ... 27 50400 5,2,2,1 10 108 28 ... It means that 1, 4, and 36 are the only square highly composite numbers.
If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:
This article gives a list of conversion factors for several physical quantities. ... ≡ 2.54 cm ≡ 1 ⁄ 36 yd ≡ 1 ... ≡ 1 ⁄ 72.27 in
2.27 Isolated primes. 2.28 Leyland primes. ... 2.36 Non-generous ... write the prime factorization of n in base 10 and concatenate the factors; iterate until a prime ...
Since it is possible to find sequences of 36 consecutive integers such that each inner member shares a factor with either the first or the last member, 36 is an Erdős–Woods number. [11] The sum of the integers from 1 to 36 is 666 (see number of the beast). 36 is also a Tridecagonal number. [12]
Because of the calendar, Social Security recipients who get Supplemental Security Income benefits get their first 2025 check on Dec. 31, 2024.
For n ≥ 2, a(n) is the prime that is finally reached when you start with n, concatenate its prime factors (A037276) and repeat until a prime is reached; a(n) = −1 if no prime is ever reached. A037274