Saturday, September 26, 2020

Number of the day: 61701

Properties of the number 61701:

61701 = 3 × 131 × 157 is a sphenic number and squarefree.
61701 has 3 distinct prime factors, 8 divisors, 17 antidivisors and 40560 totatives.
61701 has an emirpimes digit sum 15 in base 10.
61701 has a triangular digit sum 15 in base 10.
61701 = 308512 - 308502 = 102852 - 102822 = 3012 - 1702 = 2752 - 1182 is the difference of 2 nonnegative squares in 4 ways.
61701 is the sum of 2 positive triangular numbers.
61701 is the difference of 2 positive pentagonal numbers in 1 way.
61701 = 12 + 142 + 2482 is the sum of 3 positive squares.
617012 = 334052 + 518762 is the sum of 2 positive squares in 1 way.
617012 is the sum of 3 positive squares.
61701 is a proper divisor of 15712 - 1.
61701 = '61' + '701' is the concatenation of 2 prime numbers.
61701 is palindromic in (at least) base -41.

The number 61701 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A292760: E.g.f.: (tan x + sec x)*(E.g.f. for A000738).

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