Tuesday, November 10, 2020

Number of the day: 97538

Properties of the number 97538:

97538 = 2 × 7 × 6967 is a sphenic number and squarefree.
97538 has 3 distinct prime factors, 8 divisors, 37 antidivisors and 41796 totatives.
Reversing the decimal digits of 97538 results in a prime.
97538 = 472 + 482 + 3052 is the sum of 3 positive squares.
975382 is the sum of 3 positive squares.
97538 is a proper divisor of 3836 - 1.
97538 = '9' + '7538' is the concatenation of 2 semiprime numbers.
97538 is palindromic in (at least) the following bases: 81, -84, and -86.

The number 97538 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A295726: a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 0, a(1) = -1, a(2) = 1, a(3) = 1.
A295730: a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = -1, a(1) = 0, a(2) = 0, a(3) = 1.
A295850: a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 0, a(1) = 0, a(2) = 2, a(3) = 1.

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