Saturday, August 20, 2016

Number of the day: 33142

Properties of the number 33142:

33142 = 2 × 73 × 227 is a sphenic number and squarefree.
33142 has 3 distinct prime factors, 8 divisors, 23 antidivisors and 16272 totatives.
33142 has an emirp digit sum 13 in base 10.
33142 has a Fibonacci digit sum 13 in base 10.
33142 has an oblong digit product 72 in base 10.
Reversing the decimal digits of 33142 results in a prime.
33142 is the difference of 2 positive pentagonal numbers in 3 ways.
33142 = 182 + 972 + 1532 is the sum of 3 positive squares.
331422 = 217922 + 249702 is the sum of 2 positive squares in 1 way.
331422 is the sum of 3 positive squares.
33142 is a divisor of 90772 - 1.
33142 = '33' + '142' is the concatenation of 2 semiprime numbers.
33142 is palindromic in (at least) the following bases: -3, and -76.
33142 in base 45 = GGM and consists of only the digits 'G' and 'M'.

The number 33142 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A164420: Number of binary strings of length n with no substrings equal to 0000 0010 or 0111
A247865: Numbers n such that n!3 + 3^2 is prime.

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