Properties of the Number 36801

Thirty-Six Thousand Eight Hundred One

Basics

Value: 36800 → 36801 → 36802

Parity: odd

Prime: No

Previous Prime: 36793

Next Prime: 36809

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 29 × 47

Divisors: 1, 3, 9, 27, 29, 47, 87, 141, 261, 423

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111000001

Octal: 107701

Duodecimal: 19369

Hexadecimal: 8fc1

Square: 1354313601

Square Root: 191.835867344978

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

Expansion of ∏_m>=1 (1+q^m)²⁹. A22593

A triangular array made from polynomial coefficients of A049614. A118687

Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-1. A178125

Number of aperiodic necklaces (Lyndon words) with k<=5 black beads and n-k white beads. A277629

a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3. A22878

Number of (n+2) X 4 binary arrays with consecutive windows of three bits considered as a binary number nondecreasing in every row and column. A202455

1/4 the number of n X n 0..3 symmetric matrices with every element equal to zero, one, three or four horizontal and vertical neighbors. A211091

Number of (n+2) X 6 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order. A204638

a(n) is the smallest integer k such that kⁿ is an abelian square; or -1 if no such k exists. A384612

Number of partitions satisfying (cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)). A36801