Properties of the Number 29832

Twenty-Nine Thousand Eight Hundred Thirty-Two

Basics

Value: 29831 → 29832 → 29833

Parity: even

Prime: No

Previous Prime: 29819

Next Prime: 29833

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 113

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010001000

Octal: 72210

Duodecimal: 15320

Hexadecimal: 7488

Square: 889948224

Square Root: 172.71942565907287

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

G.f.: ∑_n>=0 xⁿ / (1-x)^2·n+1 * [∑_k=0..n C(n,k)² * x^k] * [∑_k=0..n C(n,k)² * 2^k * x^k]. A243948

a(n) = 234·2ⁿ - 120. A305066

Consider all integer triples (i,j,k), j,k>0, with i³=j³+binomial(k+2,3), ordered by increasing i; sequence gives j values. A54235

Numbers k such that k*((2⁶¹-1)²) - 1 and k*((2⁶¹-1)²) + 1 are twin primes. A99229

Numbers k such that k and k² use only the digits 2, 3, 4, 8 and 9. A137077

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, -1), (0, 1, 1), (1, 0, 0)}. A149851

Numbers k such that σ(k) = ψ(k) + τ(k) + ω(k)⁷. A392385

A discrete version of the Mangoldt function: if n is prime then ceiling(log(n)) else 0. A29832