Properties of the Number 10227

Ten Thousand Two Hundred Twenty-Seven

Basics

Value: 10226 → 10227 → 10228

Parity: odd

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 487

Divisors: 1, 3, 7, 21, 487, 1461, 3409, 10227

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111110011

Octal: 23763

Duodecimal: 5B03

Hexadecimal: 27f3

Square: 104591529

Square Root: 101.12863096077193

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 1/(1 - x⁵ - x⁶ - x⁷ - x⁸ + x¹³). A173924

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229637

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252334

Numbers n such that there are precisely 5 groups of orders n and n + 1. A295991

Number of connected 4-colorable (i.e., chromatic number <= 4) simple graphs on n nodes. A76323

Number of subsets of {1..n} whose harmonic mean is an integer. A339453

Number of ways to write n as an ordered sum of 9 nonprime numbers. A341486

A007318 * [1, 2, 2, 3, 2, 3, 2, 3, 2, ...]. A133124

Number of days in n years (n=4 is the first leap year). A33171

Number of n X 2 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, rows lexicographically nondecreasing, and columns lexicographically nonincreasing. A229422