Properties of the Number 36876

Thirty-Six Thousand Eight Hundred Seventy-Six

Basics

Value: 36875 → 36876 → 36877

Parity: even

Prime: No

Previous Prime: 36871

Next Prime: 36877

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 439

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000000001100

Octal: 110014

Duodecimal: 19410

Hexadecimal: 900c

Square: 1359839376

Square Root: 192.03124745728232

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of rucksack partitions of n: every consecutive constant subsequence has a different sum. A353864

Triangle T(n,m) read by rows: let p(n,x) = exp(-x) * ∑_{m >= 0} (2·m + 1)ⁿ * x^m/m!; then T(n,m) = [x^m] p(n,x). A154537

Integers k such that there are i groups of order k+i up to isomorphism, for i=1,2,3. A373649

a(n) = coefficient of xⁿ in the power series A(x) such that: x = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (2 + xⁿ)ⁿ * A(x)ⁿ. A357797

Number of parts in all partitions of n in which no part occurs more than seven times. A320610

a(n) = 144·n² + 12. A158546

Numbers n such that n⁶ + 545 is prime. A163592

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 32. A31710

Number of strings of numbers x(i=1..6) in 0..n with sum i³*x(i) equal to 216·n. A184261

Smallest k such that q=2·k*prime(n)⁴+b, r=2·k*q⁴+c, s=2·k*r⁴+d and q, r and s are all prime numbers with b, c and d = -1 or 1. A225056