Friday, February 12, 2021

Number of the day: 376

Properties of the number 376:

376 = 23 × 47 is the 301th composite number and is not squarefree.
376 has 2 distinct prime factors, 8 divisors, 3 antidivisors and 184 totatives.
Reversing the decimal digits of 376 results in a prime.
376 = 952 - 932 = 492 - 452 is the difference of 2 nonnegative squares in 2 ways.
376 is the difference of 2 positive pentagonal numbers in 1 way.
376 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
376 = (16 × (3 × 16-1))/2 is a pentagonal number.
376 = 42 + 62 + 182 is the sum of 3 positive squares.
3762 is the sum of 3 positive squares.
376 is a proper divisor of 2812 - 1.
376 is palindromic in (at least) the following bases: 15, 46, 93, -17, -25, and -75.
376 in base 3 = 111221 and consists of only the digits '1' and '2'.
376 in base 13 = 22c and consists of only the digits '2' and 'c'.
376 in base 14 = 1cc and consists of only the digits '1' and 'c'.
376 in base 15 = 1a1 and consists of only the digits '1' and 'a'.

The number 376 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000071: a(n) = Fibonacci(n) - 1.
A000326: Pentagonal numbers: a(n) = n*(3*n-1)/2.
A001318: Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....
A001840: Expansion of x /((1 - x)^2 * (1 - x^3)).
A004207: a(0) = 1, a(n) = sum of digits of all previous terms.
A008590: Multiples of 8.
A014613: Numbers that are products of 4 primes (these numbers are sometimes called "4-almost primes", a generalization of semiprimes).
A033950: Refactorable numbers: number of divisors of n divides n. Also known as tau numbers.
A034856: a(n) = binomial(n+1, 2) + n - 1 = n*(n + 3)/2 - 1.
A329744: Triangle read by rows where T(n,k) is the number of compositions of n > 0 with runs-resistance k, 0 <= k <= n - 1.

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