Properties of the Number 29561

Twenty-Nine Thousand Five Hundred Sixty-One

Basics

Value: 29560 → 29561 → 29562

Parity: odd

Prime: No

Previous Prime: 29537

Next Prime: 29567

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 41 × 103

Divisors: 1, 7, 41, 103, 287, 721, 4223, 29561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001101111001

Octal: 71571

Duodecimal: 15135

Hexadecimal: 7379

Square: 873852721

Square Root: 171.93312653470826

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 nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A300208

Number of different words that can be formed from an n X n grid of letters, reading horizontally, vertically or diagonally. A34720

a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3. A22863

G.f.: q*∏_k>0 (1-q^12k)(1+q^12k-1)(1+q^12k-11)/(1-q^k). A98693

Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A300204

Coefficients of a q-series inspired by Andrews and Ramanujan. A122928

38-gonal numbers: a(n) = n*(18·n-17). A282850

Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A300202

Quasi-Carmichael numbers to base 2: squarefree composites n such that prime p∣n ==> p-2∣n-2. A29561