Properties of the Number 22623

Twenty-Two Thousand Six Hundred Twenty-Three

Basics

Value: 22622 → 22623 → 22624

Parity: odd

Prime: No

Previous Prime: 22621

Next Prime: 22637

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7541

Divisors: 1, 3, 7541, 22623

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100001011111

Octal: 54137

Duodecimal: 11113

Hexadecimal: 585f

Square: 511800129

Square Root: 150.40944119303148

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

Coefficients in the expansion ∏_n>=1 (1-q^2n-1)²/(1-q²ⁿ)². A274621

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252605

Number of rucksack compositions of n: every distinct partial run has a different sum. A354580

Number of bipartitions of n wherein odd parts are distinct (and even parts are unrestricted). A273225

G.f.: A(x) = exp( ∑_n>=1 A005261(n)/2·xⁿ/n ) where A005261(n) = ∑_k=0..n C(n,k)⁵. A218118

Numbers whose set of base-12 digits is {1,3}. A32919

Number of (2+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250757

Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252600

Number of (n+2)X(4+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252601

Number of Bottleneck-Monge matrices with 5 rows. A70053