Properties of the Number 30832

Thirty Thousand Eight Hundred Thirty-Two

Basics

Value: 30831 → 30832 → 30833

Parity: even

Prime: No

Previous Prime: 30829

Next Prime: 30839

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 41 × 47

Divisors: 1, 2, 4, 8, 16, 41, 47, 82, 94, 164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100001110000

Octal: 74160

Duodecimal: 15A14

Hexadecimal: 7870

Square: 950612224

Square Root: 175.59043254118376

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 integer partitions that are the first sums of some integer partition of n > 0. A390429

Triangular array where T(n,k) is the number of set partitions of n with k atomic parts. A127743

Another version of triangle in A127743. A130167

Number of binary strings of length n with no substrings equal to 0000 0011 or 0101. A164426

Triangle T(n,k) with the real part of [x^k] of the series (1-x)ⁿ⁺¹* ∑_{j=0..infinity} (2·j+1+i)ⁿ*x^j in row n, column k. A179068

E.g.f. satisfies: A(x) = exp( x/(1 - x·A'(x)/A(x)) ). A182962

Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero. A301782

a(0) = 0; for n > 1, if a(n-1) has appeared three or more times then a(n) = total number of terms between the last and second-last appearance of a(n-1), minus the total number of terms between the second-last and third-last appearance of a(n-1). If a(n-1) has appeared two times, a(n) = total number of terms between the last and second-last appearance of a(n-1). If a(n-1) has appeared once, a(n) = 0. A328342

[ exp(15/22)*n! ]. A30832