Properties of the Number 29536

Twenty-Nine Thousand Five Hundred Thirty-Six

Basics

Value: 29535 → 29536 → 29537

Parity: even

Prime: No

Previous Prime: 29531

Next Prime: 29537

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 13 × 71

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 71

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111001101100000

Octal: 71540

Duodecimal: 15114

Hexadecimal: 7360

Square: 872375296

Square Root: 171.86040847152668

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 length n+3 0..k arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..k introduced in 0..k order. A242549

Numbers k such that k and 5·k, taken together, are pandigital. A115925

The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2). A292345

G.f.: (1-4·x)^-1/2 * (1-8·x)^-1/4. A209200

Volume (multiplied by 3) of polyhedron formed by points (i,j,k) in Z³ with i²+j²+k² = n². A65089

Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of trunc(x(i)/x(i+1)) equal to zero. A189546

Number of 0..6 arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo 7. A200666

Number of 0..n arrays x(0..6) of 7 elements with each no smaller than the sum of its three previous neighbors modulo (n+1). A200671

Number of length n+3 0..3 arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..3 introduced in 0..3 order. A242544

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo (k+1). A200668