Properties of the Number -416

Four Hundred Sixteen

Basics

Value: -417 → -416 → -415

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 13

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: -110100000

Octal: -640

Duodecimal: -2A8

Hexadecimal: -1a0

Square: 173056

Square Root: 20.396078054371138

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 (φ(q³) / φ(q))² in powers of q where φ() is a Ramanujan θ function. A261320

Expansion of (ψ(-q) / f(q³))² in powers of q where ψ(), f() are Ramanujan θ functions. A262930

Expansion of ∏_k>0 ((1-x^5k-2) * (1-x^5k-3)/((1-x^5k-1) * (1-x^5k-4)))⁴ in powers of x. A285444

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 + 2·k*x + k*(k+4)*x²). A307819

∏_n>=1 1 / (1 - a(n)*xⁿ/n!) = 1 + tan(x). A353911

a(n) = -2·a(n-1)+4·a(n-2), n>1 ; a(0) = 1, a(1) = -4. A152174

Expansion of χ(-q) * χ(q⁹) / (χ(q) * χ(-q⁹)) in powers of q where χ() is a Ramanujan θ function. A260215

Expansion of E(k) * K(k) * (2/π)² in powers of q² where E(), K() are complete elliptic integrals and the nome q = exp( -π * K(k') / K(k)). A122858

Denominators of the fixed point a=(a₁,a₂,...) of the transformation x'= fix(x) where fix(x)_n = ∑_d∣n d x_d, i.e., fix(a)=a. A153038

G.f.: 1 + 1!*x/(1 + 2!*x/(1 + 3!*x/(1 + 4!*x/(1 + 5!*x/(1 + ...))))). A343428