Properties of the Number -5728

Seven Hundred Twenty-Eight

Basics

Value: -5729 → -5728 → -5727

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 179

Divisors: 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011001100000

Octal: -13140

Duodecimal: -3394

Hexadecimal: -1660

Square: 32809984

Square Root: 75.68355171369801

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

Expansion of q^-1/2 * k(q) * (1 - k(q)⁴) * (K(q) / (π/2))⁶ / 4 in powers of q where k(), k'(), K() are Jacobi elliptic functions. A225923

Expansion of q * (φ(-q²) * ψ(-q)²)⁴ in powers of q where φ(), ψ() are Ramanujan θ functions. A225912

a(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

a(n) is the number of unlabeled graphs on n nodes whose components are unicyclic graphs. A137917

Partial sums of ceiling(n²/2) (A000982). A131941

Number of (directed) Hamiltonian paths in the n-ladder graph. A137882

Numbers k such that φ(x) = k has exactly 10 solutions. A60673

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2. A274728

Sum of the sizes of the Durfee squares of all no-leg partitions of n (or of all no-arm partitions of n). A268188

Least number k such that there are exactly n ways to choose a multiset consisting of a binary index of each binary index of k. A367913