Properties of the Number -7712

Seven Hundred Twelve

Basics

Value: -7713 → -7712 → -7711

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 241

Divisors: 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111000100000

Octal: -17040

Duodecimal: -4568

Hexadecimal: -1e20

Square: 59474944

Square Root: 87.8179936004006

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) = 2ⁿ-n⁵. A24015

Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n. A31

Number of subsets of {1,2,...,n} which sum to 0 modulo n. A63776

The compositional inverse of n -> n^[isprime(n)], where [b] is the Iverson bracket of b. A357588

T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in i..i+k and no value appearing more than 3 times. A250361

The smallest magic constant of an n X n magic square with distinct prime entries. A164843

Irregular triangle: T(n,k) gives the number of connected subsets of k edges of the n-dimensional cross-polytope up to isometries of the polytope, with 0 <= k <= A046092(n-1). A383973

a(n) = (1/n) * ∑_{d divides n} (-1)^n+d*φ(n/d)*2^d. A74763

Number of compositions of n that are proper powers of Lyndon words. A298971

Fibonacci iteration starting with (1, a(n)) leads to a "nine digits anagram". A34587