Properties of the Number 29284

Twenty-Nine Thousand Two Hundred Eighty-Four

Basics

Value: 29283 → 29284 → 29285

Parity: even

Prime: No

Previous Prime: 29269

Next Prime: 29287

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7321

Divisors: 1, 2, 4, 7321, 14642, 29284

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001001100100

Octal: 71144

Duodecimal: 14B44

Hexadecimal: 7264

Square: 857552656

Square Root: 171.12568480505783

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 containing all prime indices of their parts. A324753

Numbers k such that k² is palindromic in base 11. A29996

Numbers n such that there is no square n-gonal number greater than 1. A188896

McKay-Thompson series of class 11A for the Monster group with a(0) = -5. A3295

McKay-Thompson series of class 11A for the Monster Group with a(0) = 6. A128525

McKay-Thompson series of class 11A for the Monster Group. A58205

G.f. satisfies: A(x) = 1/(1 + x·A(x⁵)) and also the continued fraction: 1+x·A(x⁶) = [1;1/x,1/x⁵,1/x²⁵,1/x¹²⁵,...,1/x^{5^(n-1}),...]. A101915

A(n,k) is the sum of the k-th powers of the (positive) number of permutations of [n] with j descents (j=0..max(0,n-1)); square array A(n,k), n>=0, k>=0, read by antidiagonals. A335545

Sum of the n-th powers of the (positive) number of permutations of [n] with j descents (j=0..max(0,n-1)). A335546

McKay-Thompson series of class 11A for the Monster group with a(0) = 2. A134784