Properties of the Number 29272

Twenty-Nine Thousand Two Hundred Seventy-Two

Basics

Value: 29271 → 29272 → 29273

Parity: even

Prime: No

Previous Prime: 29269

Next Prime: 29287

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 3659

Divisors: 1, 2, 4, 8, 3659, 7318, 14636, 29272

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001001011000

Octal: 71130

Duodecimal: 14B34

Hexadecimal: 7258

Square: 856849984

Square Root: 171.09061926359377

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 having a single 1 or two 1s on the same edge. A251258

Numbers m such that there exists a j for which m = ∑_k=1..j (m mod k), where k runs through the largest j primes less than m. A274422

Number of ways to write a + b + c = d + e = f with {a,b,c,d,e,f} a subset of [n] of size 6 and a < b < c and d < e. A362717

Number of (n+1) X (2+1) 0..1 arrays with every 2 X 2 subblock having a single 1 or two 1s on the same edge. A251252

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

Expansion of 1/((1-x³)(1-x⁵)(1-x⁶)(1-x⁷)). A29272