Properties of the Number 29661

Twenty-Nine Thousand Six Hundred Sixty-One

Basics

Value: 29660 → 29661 → 29662

Parity: odd

Prime: No

Previous Prime: 29641

Next Prime: 29663

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 9887

Divisors: 1, 3, 9887, 29661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111011101

Octal: 71735

Duodecimal: 151B9

Hexadecimal: 73dd

Square: 879774921

Square Root: 172.22369175000284

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

Continued fraction of (x + sqrt(2 + 4x))/2, where x=sqrt(2). A190259

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 100 ones. A31868

Continued fraction of (1 + sqrt(1 + 2x))/2, where x=sqrt(2). A190261

G.f. satisfies: 1-x = ∑_n>=0 (-x)ⁿ*A(x)^{n mod 3}. A233347

a(n) = 4·n³ - 18·n² + 27·n - 12. A271828

Number of 0..30 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171336

Number of 0..n-1 integer arrays v[1..3] of length 3 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..2. A171354

Even numbers to the right of the central numbers of the (2,1)-Pascal triangle A029653. A29661

Number of n X 4 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303080