Properties of the Number 29731

Twenty-Nine Thousand Seven Hundred Thirty-One

Basics

Value: 29730 → 29731 → 29732

Parity: odd

Prime: No

Previous Prime: 29723

Next Prime: 29741

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 2287

Divisors: 1, 13, 2287, 29731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010000100011

Octal: 72043

Duodecimal: 15257

Hexadecimal: 7423

Square: 883932361

Square Root: 172.4267960614011

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

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. A204284

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1. A255149

G.f.: 1/(1 - x*(1-x³)/(1 - x²*(1-x⁴)/(1 - x³*(1-x⁵)/(1 - x⁴*(1-x⁶)/(1 - ...))))), a continued fraction. A227360

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>n. A211640

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>=n. A211641

Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. A204277

Number of (n+2) X 9 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. A204283

Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1. A255144

Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1. A255145

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = (odd natural numbers). A24592