Properties of the Number -996

Nine Hundred Ninety-Six

Basics

Value: -997 → -996 → -995

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 83

Divisors: 1, 2, 3, 4, 6, 12, 83, 166, 249, 332

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -1111100100

Octal: -1744

Duodecimal: -6B0

Hexadecimal: -3e4

Square: 992016

Square Root: 31.559467676119

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

G.f.: Re((i; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A278399

Coefficients in an asymptotic expansion of A261239 in falling factorials. A261254

a(n) = n - 2^{sum of digits of n}. A328882

E.g.f. satisfies: A(x)^A(x³) = 1/(1 - x). A349653

Expansion of η(q) * η(q¹⁰)³ / (η(q²) * η(q⁴) * η(q⁵) * η(q²⁰)) in powers of q. A147702

a(n) = - ∑_d∣n (-n/d)^d * binomial(d+n/d-1, d). A338683

a(n) = A344998(n) - A344999(n). A345043

McKay-Thompson series of class 40b for Monster. A58666

Expansion of q * (f(-q, -q⁷) / f(-q³, -q⁵))² in powers of q where f(,) is Ramanujan's two-variable θ function. A230535

McKay-Thompson series of class 12G for Monster. A58485