Properties of the Number -5716

Seven Hundred Sixteen

Basics

Value: -5717 → -5716 → -5715

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 1429

Divisors: 1, 2, 4, 1429, 2858, 5716

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011001010100

Octal: -13124

Duodecimal: -3384

Hexadecimal: -1654

Square: 32672656

Square Root: 75.6042326857432

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 ∏_k>0 theta₄(q^k)/theta₃(q^k), where theta₃() and theta₄() are the Jacobi θ functions. A320970

Triangle read by rows: coefficients of the alternating factorial polynomial (x+1)(x-2)(x+3)(x-4)...(x+n*(-1)^n-1). A140956

Numbers k such that k⁵¹² + 1 is prime. A57465

Number of partitions of n in which the least part is even. A26805

Number of maximal Golomb rulers of length n. A325683

a(n) = A063416(n)/7. A88409

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252334

T(n,k)=Number of (n+2)X(k+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 1, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero. A253424

Triangle T(n,k) of the numbers of nodes in all non-extendable (complete) non-self-adjacent simple paths within a square lattice bounded by rectangles with nodal dimensions n and k, n >= k >= 2. A214397

T(n,k)=Number of nXk 0,1 arrays with adjacent row and column sums unequal. A203610