Thursday, January 24, 2019

Number of the day: 41783

Properties of the number 41783:

41783 = 7 × 47 × 127 is a sphenic number and squarefree.
41783 has 3 distinct prime factors, 8 divisors, 27 antidivisors and 34776 totatives.
41783 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 41783 results in a sphenic number.
41783 = 208922 - 208912 = 29882 - 29812 = 4682 - 4212 = 2282 - 1012 is the difference of 2 nonnegative squares in 4 ways.
41783 is the difference of 2 positive pentagonal numbers in 3 ways.
41783 is not the sum of 3 positive squares.
417832 is the sum of 3 positive squares.
41783 is a proper divisor of 65918 - 1.
41783 is palindromic in (at least) the following bases: -75, and -99.

The number 41783 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006722: Somos-6 sequence: a(n) = (a(n-1) * a(n-5) + a(n-2) * a(n-4) + a(n-3)^2) / a(n-6), a(0) = ... = a(5) = 1.
A101936: Numbers n with omega(n) = omega of 3 nearest larger and 3 nearest smaller neighbors.
A296198: Harary index of the n X n black bishop graph.
A296200: Harary index of the n X n white bishop graph.

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