Properties of the Number 9226

Nine Thousand Two Hundred Twenty-Six

Basics

Value: 9225 → 9226 → 9227

Parity: even

Prime: No

Previous Prime: 9221

Next Prime: 9227

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 659

Divisors: 1, 2, 7, 14, 659, 1318, 4613, 9226

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10010000001010

Octal: 22012

Duodecimal: 540A

Hexadecimal: 240a

Square: 85119076

Square Root: 96.05206921248495

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 5x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 1 - x - x². A367210

Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 4). A35544

A(n,k) is (1/k) times the number of n-member subsets of [k·n] whose elements sum to a multiple of n; square array A(n,k), n>=1, k>=1, read by antidiagonals. A309148

a(n) = (9·n² + 5·n + 2)/2. A64225

Number of partitions of 2n with equal number of parts congruent to each of 1 and 3 (mod 4). A35594

T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero. A230819

Expansion of ∏_k>=1 ((1 + x^3·k) / (1 - x^k))^k. A285447

Number of n-element subsets of {1,2,...,2n-1} whose elements sum to a multiple of n. A145855

a(n) = 5·n² + 20·n + 1. A162316

Expansion of (1/(1 - x)) * ∑_k>=0 x^2·k+1 / ∏_j=1..2·k+1 (1 - x^j). A306145