Properties of the Number 36022

Thirty-Six Thousand Twenty-Two

Basics

Value: 36021 → 36022 → 36023

Parity: even

Prime: No

Previous Prime: 36017

Next Prime: 36037

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 31 × 83

Divisors: 1, 2, 7, 14, 31, 62, 83, 166, 217, 434

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010110110

Octal: 106266

Duodecimal: 18A1A

Hexadecimal: 8cb6

Square: 1297584484

Square Root: 189.79462584593907

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

The Wiener index of the P₃ X P_n grid, where P_m is the path graph on m nodes. The Wiener index of a connected graph is the sum of distances between all unordered pairs of nodes in the graph. A180569

a(n) is the number of words of length n over the alphabet {a,b,c} with an even number of appearances of the letter 'a' and the sum of appearances of the letters 'b' and 'c' add up to at most 3. A341896

Numbers k such that k = x + y, sigma₁(k) = sigma₁(x) + sigma₁(y) and sigma₂(k) = sigma₂(x) + sigma₂(y). A219033

Number of n X 2 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing. A229439

Expansion of (1-x)^-1/(1+2·x²+x³). A77894

Numbers k such that (25·10^k + 23)/3 is prime. A288150

Number of (n+2) X 7 binary arrays with consecutive windows of three bits considered as a binary number nondecreasing in every row and column. A202458

Number of partitions of n into parts not of form 4k+2, 16k, 16k+5 or 16k-5. A36022

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