Properties of the Number 37281

Thirty-Seven Thousand Two Hundred Eighty-One

Basics

Value: 37280 → 37281 → 37282

Parity: odd

Prime: No

Previous Prime: 37277

Next Prime: 37307

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 ² × 43

Divisors: 1, 3, 17, 43, 51, 129, 289, 731, 867, 2193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000110100001

Octal: 110641

Duodecimal: 196A9

Hexadecimal: 91a1

Square: 1389872961

Square Root: 193.08288375720932

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+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0. A255783

Partial sums of cupolar numbers (1/3)*(n+1)*(5·n²+7·n+3) (A096000). A117066

a(n) = ∑_k=0..n (-2)^3·k*binomial(2·n, 2·k)*Euler(2·k, 1/2). Row sums of A371637. A371683

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0. A255777

Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0. A255779

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, -1), (0, 1, 0), (1, -1, 0)}. A148047

Factors k > 0 such that k·x² + 1 produces a new minimum of its Hardy-Littlewood constant. A331946

Factors k > 0 such that the polynomial k·x² + 1 produces a record of its Hardy-Littlewood constant. A331945

Number of iterations of transformation in A037280 needed to reach 1 or a prime, or -1 if no such number exists. A37281

a(n) = 81·n³*(n-1)⁵*(n+1)²*(n²-6·n+1)*(n³-79·n²+163·n-81). A259563