Properties of the Number 29568

Twenty-Nine Thousand Five Hundred Sixty-Eight

Basics

Value: 29567 → 29568 → 29569

Parity: even

Prime: No

Previous Prime: 29567

Next Prime: 29569

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 7 × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 11, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001110000000

Octal: 71600

Duodecimal: 15140

Hexadecimal: 7380

Square: 874266624

Square Root: 171.95348208163742

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(n) = 2^n-1*binomial(2·n-3, n-1). A69723

a(n) = 2^n-5*binomial(n,5). Number of 5D hypercubes in an n-dimensional hypercube. A54849

Array T(n,k) (n >= 1, k >= 1) read by antidiagonals, giving number of ways of arranging the numbers 1 ... mn into an m X n array so there is exactly one local maximum. A87783

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A50035

A transform of binomial(n,6). A82140

Triangle T(n,k) of arctangent numbers: expansion of arctan(x)ⁿ/n!. A49218

Numbers k such that σ(k) AND 3·k = 3·k, where AND is bitwise-and, A004198. A388022

Triangle read by rows: T(n,m) = 4^m * (2·n+1)! / ( (2·n - 2·m + 1)! * (2·m)! ), row n has n+1 terms. A85840

Numbers with prime factorization pqrs⁷. A190473

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234672