Properties of the Number -5922

Nine Hundred Twenty-Two

Basics

Value: -5923 → -5922 → -5921

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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>0 (1-x^2k-1)/(1-x^2k). A106507

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (-1)^k+1 * k! * ∑_i=0..n-1 (-1)ⁱ * binomial(n-1,i) * binomial(i+1,k) * T(n-1-i,k) for n > 0. A292973

Triangle T(n, k, m) = round( t(n,m)/(t(k,m)*t(n-k,m)) ), with T(0, k, m) = 1, where t(n, k) = ∏_j=1..n A129862(k+1, j), t(n, 0) = n!, and m = 4, read by rows. A156610

a(n) = Fibonacci(n)*A122859(n) for n>=1, with a(0)=1, where A122859 lists the coefficients in φ(-q)³/φ(-q³) and φ() is a Ramanujan θ function. A205972

E.g.f.: exp(x² * exp(-x)). A292907

(10-n) * Fibonacci(n). A137392

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

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