Properties of the Number 29904

Twenty-Nine Thousand Nine Hundred Four

Basics

Value: 29903 → 29904 → 29905

Parity: even

Prime: No

Previous Prime: 29881

Next Prime: 29917

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 89

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011010000

Octal: 72320

Duodecimal: 15380

Hexadecimal: 74d0

Square: 894249216

Square Root: 172.9277305697383

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 of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344654

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))⁴. A341243

Triangle read by rows: number of meanders filling out an n X k grid, unreduced for symmetry. A201145

(prime(n-1) + 1)*(prime(n+1) - 1). A87105

Integers k such that there exists an integer 0<m<k such that (1/σ(m)² + 1/σ(k)²)*(m+k)² = 1. A383964

T(n,k) is the number of partial bijections (or subpermutations) of an n-element set of height k (height(α) = |Im(α)|) and without fixed points. A144089

Number of (n+2)X(6+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A253023

Irregular triangle read by rows: T(n,m) = number of lattice paths of type B^Q terminating at point (n, m). A291087

T(n,k)=Number of 0..k arrays x(0..n) of n+1 elements with zero n-1st differences. A200082

Number of partitions of n having standard deviation σ > 3. A238655