Properties of the Number -614

Six Hundred Fourteen

Basics

Value: -615 → -614 → -613

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 307

Divisors: 1, 2, 307, 614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -1001100110

Octal: -1146

Duodecimal: -432

Hexadecimal: -266

Square: 376996

Square Root: 24.779023386727733

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

Coefficients of the 3rd-order mock θ function f(q). A25

Coefficient of q²ⁿ in the series expansion of Ramanujan's mock θ function f(q). A39

Expansion of q * (ψ(q⁵) / ψ(q))² in powers of q where ψ() is a Ramanujan θ function. A138519

Triangle, read by rows, such that row n equals the coefficients of x^n²+n-1+k in F(x,n) for k = 1..n, where F(x,n) = (1 + x·F(x,n))*(1 + xⁿ/F(x,n)), for n>=1. A200171

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of M (as in A204026), given by min(F(i+1),F(j+1)), where F=A000045 (Fibonacci numbers). A204027

G.f. A(x,y) satisfies: ∑_n=-oo...+oo (xⁿ + y)ⁿ = exp( (1-y) * A(x,y) ) / (1-y), where A(x,y) = ∑_n>=1 xⁿ/n·Sum{k=0..n-1} T(n,k)*y^k, written here as a flattened triangle of coefficients T(n,k) read by rows. A321600

Expansion of (1-x)/(1-x+2·x³). A78014

a(n) = 4·a(n-1) - 5·a(n-2). A102486

Number of partitions of n into prime parts. A607

Number of Look-and-Say partitions of n; see Comments. A239455