Properties of the Number 29004

Twenty-Nine Thousand Four

Basics

Value: 29003 → 29004 → 29005

Parity: even

Prime: No

Previous Prime: 28979

Next Prime: 29009

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2417

Divisors: 1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000101001100

Octal: 70514

Duodecimal: 14950

Hexadecimal: 714c

Square: 841232016

Square Root: 170.30560765870277

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 words on {1,1,2,2,3,3,...,n,n} avoiding the pattern 123. A220097

Number A(n,k) of words on {1,1,2,2,...,n,n} with longest increasing subsequence of length <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A267479

Sum of the perimeters of all regions of the n-th section of a modular table of partitions. A278602

Numbers k such that k² is composed of three 1-digit-overlapping subsquares. A48426

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, 0), (-1, 1, 1), (0, 0, -1), (1, 0, 1)}. A149253

Difference array of Catalan numbers A000108 read by antidiagonals. A59346

Expansion of 1/((1-x)(1-x²)(1-x³)(1-x¹⁰)). A29004