Properties of the Number 5922

Five Thousand Nine Hundred Twenty-Two

Basics

Value: 5921 → 5922 → 5923

Parity: even

Prime: No

Previous Prime: 5903

Next Prime: 5923

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 47

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100100010

Octal: 13442

Duodecimal: 3516

Hexadecimal: 1722

Square: 35070084

Square Root: 76.95453203028396

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

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

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

Number T(n,k) of ordered partitions of an n-set with nondecreasing block sizes and maximal block size equal to k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A262071

Number T(n,k) of defective (binary) heaps on n elements with k defects; triangle T(n,k), n>=0, 0<=k<=max(0,n-1), read by rows. A306343

E.g.f. exp( x² * exp(x) ). A216507

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302265

Positive numbers whose product of digits is 10 times their sum. A62043

Number of partitions p of n such that (number of numbers in p of form 3k+2) < (number of numbers in p of form 3k). A241740

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)³*y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A181143