Saturday, April 3, 2021

Number of the day: 74957

Properties of the number 74957:

74957 is a cyclic number.
74957 = 23 × 3259 is semiprime and squarefree.
74957 has 2 distinct prime factors, 4 divisors, 9 antidivisors and 71676 totatives.
Reversing the decimal digits of 74957 results in an emirpimes.
74957 = 374792 - 374782 = 16412 - 16182 is the difference of 2 nonnegative squares in 2 ways.
74957 is the difference of 2 positive pentagonal numbers in 2 ways.
74957 = 402 + 512 + 2662 is the sum of 3 positive squares.
749572 is the sum of 3 positive squares.
74957 is a proper divisor of 85366 - 1.
74957 = '7' + '4957' is the concatenation of 2 prime numbers.
74957 = '749' + '57' is the concatenation of 2 semiprime numbers.
74957 is an emirpimes in (at least) the following bases: 2, 4, 6, 8, 10, 12, 13, 14, 15, 17, 19, 20, 21, 22, 25, 29, 31, 33, 34, 35, 38, 39, 43, 45, 46, 49, 52, 53, 56, 57, 58, 59, 61, 64, 65, 74, 81, 83, 88, 91, 93, 95, 97, and 99.

The number 74957 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A158771: a(n) = 78*n^2 - 1.
A222151: Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,-2,1
A229139: Smallest m such that Fibonacci(2n-1) = m^2 + k^2.

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