Properties of the Number -678

Six Hundred Seventy-Eight

Basics

Value: -679 → -678 → -677

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 113

Divisors: 1, 2, 3, 6, 113, 226, 339, 678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1010100110

Octal: -1246

Duodecimal: -486

Hexadecimal: -2a6

Square: 459684

Square Root: 26.038433132583073

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.: ∑_n>=0 xⁿ * (xⁿ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹, where i² = -1. A323675

a(n) = ∑_k=0..n (-1)^n-k * binomial(2·k,k) * binomial(n·k,n-k). A361835

Net increase in number of ON toothpicks at generation n in A151885. A151888

G.f.: real part of 1/(1 - i·x - i·x²) where i=sqrt(-1). A201837

Expansion of ∏_{i>=1, j>=1, k>=1} (1 - x^i·j*k)/(1 + x^i·j*k). A321241

McKay-Thompson series of class 15B for Monster. A58509

McKay-Thompson series of class 24f for the Monster group with a(0) = -2. A93067

Triangle T(n, k) = 1 - (-1)ⁿ*(n! + 1) + A176013(n, k) + A176013(n, n-k+1) read by rows. A176021

G.f. satisfies: A(x) = (1-x) * A(x²)*A(x³)*A(x⁴)*...*A(xⁿ)*... . A321317

McKay-Thompson series of class 20a for Monster. A58556