Properties of the Number 9233

Nine Thousand Two Hundred Thirty-Three

Basics

Value: 9232 → 9233 → 9234

Parity: odd

Prime: No

Previous Prime: 9227

Next Prime: 9239

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 1319

Divisors: 1, 7, 1319, 9233

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10010000010001

Octal: 22021

Duodecimal: 5415

Hexadecimal: 2411

Square: 85248289

Square Root: 96.08850087289322

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

G.f.: ∏_k>=1 (1 + x^{2·k - 1}) / (1 - x^2·k). A6950

Number of ways of placing n nonattacking queens on n X n board (symmetric solutions count only once). A2562

G.f.: ∏_k>0 (1-x^2k-1)/(1-x^2k). A106507

Square array where the row n lists all numbers k for which A329697(k) = n, read by falling antidiagonals. A334100

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

Numbers n such that the decimal expansions of both n and n² have 2 as smallest digit and 9 as largest digit. A257485

Irregular triangle read by rows: T(n, k) = number of ways to tile an n X n X n triangular area with k 2 X 2 X 2 triangular tiles and an appropriate number (= n²-4·k) of 1 X 1 X 1 tiles. A286436

Numbers n such that the trajectory of n under the `3x+1' map reaches n - 1. A70991

T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nXk array. A219310

Number of ways to tile an n X n X n triangular area with seven 2 X 2 X 2 triangular tiles and an appropriate number (= n²-28) of 1 X 1 X 1 tiles. A286442