Properties of the Number -3616

Six Hundred Sixteen

Basics

Value: -3617 → -3616 → -3615

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 113

Divisors: 1, 2, 4, 8, 16, 32, 113, 226, 452, 904

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -111000100000

Octal: -7040

Duodecimal: -2114

Hexadecimal: -e20

Square: 13075456

Square Root: 60.13318551349163

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 ψ(x⁴) / φ(x) in powers of·where φ(), ψ() are Ramanujan θ functions. A210063

Expansion of q·f(-q,-q⁷)² / (φ(q²) * ψ(-q)) in powers of q where φ(), ψ(), f(,) are Ramanujan θ functions. A224216

Expansion of f(-q³, -q⁵)² / (ψ(-q) * φ(q²)) in powers of q where φ(), ψ(), f() are Ramanujan θ functions. A245432

a(n) = coefficient of x^2·n in A(x) such that A(x) = G(x)² where G(x) = 1 + ∑_n>=1 (-1)ⁿ * x^4·n² * (F(x/2)^2·n + F(-x/2)^2·n), and F(x) is the g.f. of A357787. A357803

G.f. A(x) satisfies A(x) = 1 + x·A(x)/A(-x·A(x)²). A385013

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385013. A385017

Generalized repunits in base 15. A135518

a(n) = n³ + n² + n + 1. A53698

Multiples of 16 containing a 16 in their decimal representation. A121036

Number of subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor. A84422