Properties of the Number -837

Eight Hundred Thirty-Seven

Basics

Value: -838 → -837 → -836

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 31

Divisors: 1, 3, 9, 27, 31, 93, 279, 837

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1101000101

Octal: -1505

Duodecimal: -599

Hexadecimal: -345

Square: 700569

Square Root: 28.930952282978865

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 (∏_j>=1 (1-(-x)^j) - 1)⁹ in powers of x. A1487

Expansion of 1/(1 + 837·x + 277760·x² + 83891456·x³ + 7809531904·x⁴). A167603

The case S(-1,-2,3) of the family of self-convolutive recurrences studied by Martin and Kearney. A172485

McKay-Thompson series of class 24G for the Monster group. A112161

Values of n such that L(17) and N(17) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227520

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 342", based on the 5-celled von Neumann neighborhood. A269512

Triangle T(n, m) appearing in the expansion of Jacobi's elliptic function cn(u, k) divided by cos(v) in terms of the Jacobi nome q and even powers of 2·cos(v) with v = u/((2/π)*K(k)). A275791

E.g.f. (1/cosh(x)+tanh(x))*(exp(2·x)-exp(-x))/3. A101480

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

a(n) = n² - 4. A28347