Properties of the Number 22923

Twenty-Two Thousand Nine Hundred Twenty-Three

Basics

Value: 22922 → 22923 → 22924

Parity: odd

Prime: No

Previous Prime: 22921

Next Prime: 22937

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 283

Divisors: 1, 3, 9, 27, 81, 283, 849, 2547, 7641, 22923

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100110001011

Octal: 54613

Duodecimal: 11323

Hexadecimal: 598b

Square: 525463929

Square Root: 151.4034345713465

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

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 2. A50031

Expansion of 1/((1-x)³*(1-x²)²*(1-x³)). A2625

Index of 2ⁿ in A353709. A353405

a(n) = n*(14·n + 13) + 3. A195029

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - 2·b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295359

Number of strings of numbers x(i=1..7) in 0..n with sum i·x(i) equal to n·7. A184707

Number of 14X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 14 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192715

Multiplicity of highest weight (or singular) vectors associated with character chi₁₇₅ of Monster module. A34563

T(n,k) is the number of strings of numbers x(i=1..n) in 0..k with sum i·x(i) equal to k·n. A184703

G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^3ⁿ )...)²⁷)⁹)³. A184575