Properties of the Number -1936

Nine Hundred Thirty-Six

Basics

Value: -1937 → -1936 → -1935

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 11 ²

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 121

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11110010000

Octal: -3620

Duodecimal: -1154

Hexadecimal: -790

Square: 3748096

Square Root: 44

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) = -(-1)ⁿ * n². A162395

Expansion of 1/((1-x)*(1+x+x²+2·x³)). A77909

∏_n>=1 (1 + a(n)*xⁿ) = 1 + ∑_n>=1 φ(n)*xⁿ, where φ = A000010. A353925

Specific heat coefficients for square lattice spin 1 Ising model. A10111

A weighted count of the number of overpartitions of n with restricted odd differences. A261035

Triangle read by rows, generalized Eulerian polynomials evaluated at x = -1. A337996

Triangle read by rows, based on products of Jacobsthal numbers (A001045). A378931

The squares: a(n) = n². A290

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Even squares: a(n) = (2·n)². A16742