Properties of the Number -3136

One Hundred Thirty-Six

Basics

Value: -3137 → -3136 → -3135

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 7 ²

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 49

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: -110001000000

Octal: -6100

Duodecimal: -1994

Hexadecimal: -c40

Square: 9834496

Square Root: 56

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) is the determinant of an n X n Hermitian Toeplitz matrix whose first row consists of 1, 2·i, ..., n·i, where i denotes the imaginary unit. A359559

Determinant of n X n matrix defined by m(i,j)=1 if i²+j² is a prime, m(i,j)=0 otherwise. A71524

E.g.f. A(x) satisfies A(x) = exp(-x·A(x)³) + x. A379858

a(n) = Glaisher's function β(2n+1). A322032

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 179", based on the 5-celled von Neumann neighborhood. A270625

Starting at n, a(n) is the difference of the number of times we move away from zero from positive spots and the number of times we move away from zero from negative spots according to the following rules. On the k-th step (k=1,2,3,...) move a distance of k in the direction of zero. If the number landed on has been landed on before, move a distance of k away. A324688

Triangle T(n,m) = coefficient of xⁿ (x²*cosech(x))^m=sum(n>=m, T(n,m)xⁿ*m!²/n!²). A199568

Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) for n >= 3 with a(0) = a(1) = 0 and a(2) = 1. A73

Even squares: a(n) = (2·n)². A16742

Perfect powers of nonprimes (m^k where m is a nonprime positive integer and k >= 2). A131605