Friday, April 5, 2019

Number of the day: 53275

Properties of the number 53275:

53275 = 52 × 2131 is the 47840th composite number and is not squarefree.
53275 has 2 distinct prime factors, 6 divisors, 11 antidivisors and 42600 totatives.
53275 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 53275 results in a semiprime.
53275 = 266382 - 266372 = 53302 - 53252 = 10782 - 10532 is the difference of 2 nonnegative squares in 3 ways.
53275 is the sum of 2 positive triangular numbers.
53275 is the difference of 2 positive pentagonal numbers in 3 ways.
53275 = 332 + 652 + 2192 is the sum of 3 positive squares.
532752 = 319652 + 426202 = 149172 + 511442 is the sum of 2 positive squares in 2 ways.
532752 is the sum of 3 positive squares.
53275 is a proper divisor of 39720 - 1.
53275 is palindromic in (at least) the following bases: 47, -38, -66, and -92.
53275 in base 39 = Z11 and consists of only the digits '1' and 'Z'.
53275 in base 47 = O5O and consists of only the digits '5' and 'O'.

The number 53275 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A150036: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (0, 0, 1), (0, 1, -1), (1, 0, 1)}
A228261: Number of third differences of arrays of length 5 of numbers in 0..n.

No comments:

Post a Comment