Properties of the Number -4760

Seven Hundred Sixty

Basics

Value: -4761 → -4760 → -4759

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 17

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 17, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001010011000

Octal: -11230

Duodecimal: -2908

Hexadecimal: -1298

Square: 22657600

Square Root: 68.99275324264136

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 (1-4·x)^17/2. A20929

Expansion of q^-3 * (η(q) * η(q⁸))⁸ in powers of q. A34433

G.f.: A(x) = ∏_n>=1 [ (1-x)⁵*(1 + 5x + 15x² +...+ n(n+1)(n+2)(n+3)/4!*x^n-1) ]. A129358

Expansion of the series reversion of x*∏_k>=0 (1 + x^{2^k} + x^{2^(k + 1})). A292363

8 times triangular numbers: a(n) = 4·n*(n+1). A33996

Pentagonal numbers multiplied by 2: a(n) = n*(3·n-1). A49450

Numbers that are the sum of 7 positive 7th powers. A3374

a(n) = σ(n) * A003961(n), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341529

Smallest even k such that the pair {k-3,k-1} is not a twin prime pair and lpf(k-1) > lpf(k-3) >= prime(n), where lpf = least prime factor (A020639). A242720

a(n) = 2·binomial(n,4). A34827