Properties of the Number 29224

Twenty-Nine Thousand Two Hundred Twenty-Four

Basics

Value: 29223 → 29224 → 29225

Parity: even

Prime: No

Previous Prime: 29221

Next Prime: 29231

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 13 × 281

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 281, 562

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000101000

Octal: 71050

Duodecimal: 14AB4

Hexadecimal: 7228

Square: 854042176

Square Root: 170.95028517086482

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+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253698

T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace. A185769

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235017

Number of cycles of length 4 in the queen graph associated with an n X n chessboard. A156001

Number of (n+1) X 2 binary arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace. A185761

Numbers k such that ∑_j=1..k σ(j)^j == 0 (mod k). A229208

3-apexes of ω: numbers k such that ω(k-3) < ω(k-2)< ω(k-1) < ω(k) > ω(k+1) > ω(k+2) > ω(k+3), where ω(m) = the number of prime factors of m, counting multiplicity. A76760

An inverse Chebyshev transform of x/(1-2x). A100099

Coefficients of a Hermite-like polynomial from Eulerian polynomials: p(x,n) = ∑_k=1..n+1 [Eulerian(n + 1, k - 1)*x^{k - 1}]; q(x,n) = p''(x,n) - x·p'(x,n) + n·p(x,n). A171633

Number of distinct length-n necklaces on a size-2 alphabet. A344779