Properties of the Number 36522

Thirty-Six Thousand Five Hundred Twenty-Two

Basics

Value: 36521 → 36522 → 36523

Parity: even

Prime: No

Previous Prime: 36497

Next Prime: 36523

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2029

Divisors: 1, 2, 3, 6, 9, 18, 2029, 4058, 6087, 12174

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1000111010101010

Octal: 107252

Duodecimal: 19176

Hexadecimal: 8eaa

Square: 1333856484

Square Root: 191.10729970359583

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 every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order. A204971

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁹)). A288344

a(n) is the total number of top arches with exactly one covering arch for semi-meanders with n top arches. A301620

Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order. A204964

Number of (n+2) X 6 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order. A204967

Numbers k such that sum of 4th power of digits of k equals the sum of prime divisors of k. A217532

Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 or 01010101. A259734

Number of (n+2) X (6+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 or 01010101. A259740

a(n) = [ 1/(2·t(n+1) - t(n) - t(n+2)) ], where t(n) = tan(π/2 - 1/n) satisfies n-1 < t(n) < n for all n >= 1. A24817

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 or 01010101. A259742