Properties of the Number -1007

Seven

Basics

Value: -1008 → -1007 → -1006

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 19 × 53

Divisors: 1, 19, 53, 1007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111101111

Octal: -1757

Duodecimal: -6BB

Hexadecimal: -3ef

Square: 1014049

Square Root: 31.73326330524486

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

a(n) = a(n-2) - (n-1)*a(n-3), with a(0) = 0, a(1) = 1, a(2) = 2. A122021

Expansion of φ(-x³) * f(-x, -x⁵) / ψ(x) in powers of·where φ(), ψ(), f(, ) are Ramanujan θ functions. A262614

a(n) = n! * [xⁿ] exp(x/(1 + n·x)). A318224

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood. A269875

G.f. A(x) satisfies: A(x) = ∏_n>=0 (1-x^5·n+1*A(x)) * (1-x^5·n+4*A(x)) / ( (1-x^5·n+2*A(x)) * (1-x^5·n+3*A(x)) ). A341960

a(n) = ∑_k=1..n k·floor(n/k); also ∑_k=1..n σ(k) where σ(n) = sum of divisors of n (A000203). A24916

Number of strict knapsack partitions of n. A275972

Number of compositions (ordered partitions) of n that are concave-down sequences. A70211

Numbers that are the sum of 8 positive 5th powers. A3353

Numbers having no more than one 0 in their binary representation. A89633