Saturday, July 30, 2016

Number of the day: 74903

Properties of the number 74903:

74903 is the 7388th prime.
74903 has 13 antidivisors and 74902 totatives.
74903 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 74903 results in a semiprime.
74903 = 374522 - 374512 is the difference of 2 nonnegative squares in 1 way.
74903 is the difference of 2 positive pentagonal numbers in 1 way.
74903 is not the sum of 3 positive squares.
749032 is the sum of 3 positive squares.
74903 is a divisor of 592203 - 1.
74903 = '7' + '4903' is the concatenation of 2 prime numbers.
74903 is an emirp in (at least) the following bases: 5, 6, 9, 11, 21, 22, 34, 35, 36, 40, 41, 46, 50, 51, 52, 54, 67, 73, 74, 81, 83, and 95.
74903 is palindromic in (at least) the following bases: 43, 49, and -91.
74903 in base 8 = 222227 and consists of only the digits '2' and '7'.
74903 in base 43 = eLe and consists of only the digits 'L' and 'e'.
74903 in base 49 = V9V and consists of only the digits '9' and 'V'.

The number 74903 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A228771: The number of skew sum indecomposable permutations which avoid the patterns 3124 and 4312.
A240448: Number of partitions p of n such that (sum of parts with multiplicity 1) < (sum of all other parts).

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