Properties of the Number 9922

Nine Thousand Nine Hundred Twenty-Two

Basics

Value: 9921 → 9922 → 9923

Parity: even

Prime: No

Previous Prime: 9907

Next Prime: 9923

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 11 ² × 41

Divisors: 1, 2, 11, 22, 41, 82, 121, 242, 451, 902

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011011000010

Octal: 23302

Duodecimal: 58AA

Hexadecimal: 26c2

Square: 98446084

Square Root: 99.60923651951158

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

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and height k (1 <= k <= n). A80936

a(n) = Fibonacci(n+1) - 2^floor(n/2). A5672

Twice octagonal numbers: 2·n*(3·n-2). A139267

Number of perfect matchings in the graph C₅ X C_2n. A231485

Expansion of 1/(1 - x*∏_k>=1 (1 + k·x^k)). A299164

Greatest positive integer whose reversed (weakly decreasing) prime indices have weighted sum (A318283) equal to n. A359683

Number of perfect matchings in the graph C₆ x C_n. A232804

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = sqrt( ∏_a=1..n ∏_b=1..k (4·sin((2·a-1)*π/(2·n))² + 4·sin((2·b-1)*π/k)²) ). A341533

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. A252228

Numbers n such that sopf(φ(n)) = φ(sopf(n)), where sopf(x) = sum of the distinct prime factors of x. A76531