Properties of the Number 29215

Twenty-Nine Thousand Two Hundred Fifteen

Basics

Value: 29214 → 29215 → 29216

Parity: odd

Prime: No

Previous Prime: 29209

Next Prime: 29221

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 5843

Divisors: 1, 5, 5843, 29215

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000011111

Octal: 71037

Duodecimal: 14AA7

Hexadecimal: 721f

Square: 853516225

Square Root: 170.923959701383

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

A symmetrical triangle T(n, m) = 2·Eulerian(n+1, m) -1, read by rows. A176200

Triangle read by rows: T(n,k) is the number of irreducible words covering the alphabet [n] such that the maximal cardinality of C is k, where C is a subset of the alphabet such that all letters in C appear in weakly increasing order within the word. A390670

a(n) = (p-1)! mod p³, where p = prime(n). A330526

Number of words covering the alphabet [n] that are irreducible with respect to C, with |C| = 1. A390275

a(n) = (1/4)*(5*(n-1)*P(n)+n·P(n-1)) where P() are the Pell numbers A000129. A187917

Array read by antidiagonals: T(n,k) is the number of chiral pairs of color patterns (set partitions) in a cycle of length n using k or fewer colors (subsets). A320742

Expansion of e.g.f. ∏_k>=1 1/(1 - (exp(x) - 1)^k/k). A305986

Expansion of 1/((1-x²)*(1-x⁶)*(1-x⁷)*(1-x⁹)). A29215