Properties of the Number -7684

Six Hundred Eighty-Four

Basics

Value: -7685 → -7684 → -7683

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 17 × 113

Divisors: 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111000000100

Octal: -17004

Duodecimal: -4544

Hexadecimal: -1e04

Square: 59043856

Square Root: 87.65842800324451

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(-q³) / f(q) where ψ(), f() are Ramanujan θ functions. A139135

Expansion of (2/π)*elliptic_E(k) in powers of q. A194094

G.f.: ∑_n=-oo..+oo x^n*(n+1/2) * C(x)^3·n-3, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A355348

Number of partitions of n whose mean is a part. A237984

Numbers k such that k³ divides 15^k² - 1. A177915

Number of connected diamond-free graphs on n nodes. A242790

T(n,k)=1/8 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblock sums the same. A184029

(Sum of the squares of the quadratic nonresidues of prime(n)) / prime(n). A125618

Average of terms of n-th row of A077321. A77325

Number of classes of compositions of n equivalent under reflection or cycling. A91696