Sunday, July 31, 2016

Number of the day: 93124

Properties of the number 93124:

93124 = 22 × 31 × 751 is the 84129th composite number and is not squarefree.
93124 has 3 distinct prime factors, 12 divisors, 17 antidivisors and 45000 totatives.
93124 has a prime digit sum 19 in base 10.
Reversing the decimal digits of 93124 results in a prime.
93124 = 232822 - 232802 = 7822 - 7202 is the difference of 2 nonnegative squares in 2 ways.
93124 is the sum of 2 positive triangular numbers.
93124 is the difference of 2 positive pentagonal numbers in 2 ways.
93124 = 182 + 1522 + 2642 is the sum of 3 positive squares.
931242 is the sum of 3 positive squares.
93124 is a divisor of 186110 - 1.
93124 in base 7 = 535333 and consists of only the digits '3' and '5'.
93124 in base 49 = ccO and consists of only the digits 'O' and 'c'.

The number 93124 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A179476: Numbers of distinct Knuth-Morris-Pratt arrays of length n.
A245205: Indices of records in A245203 (= least k>=0 such that 4n+3 is the mean of primes 4(n-k)+3 and 4(n+k)+3).

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