Properties of the Number 7871

Seven Thousand Eight Hundred Seventy-One

Basics

Value: 7870 → 7871 → 7872

Parity: odd

Prime: No

Previous Prime: 7867

Next Prime: 7873

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 × 463

Divisors: 1, 17, 463, 7871

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010111111

Octal: 17277

Duodecimal: 467B

Hexadecimal: 1ebf

Square: 61952641

Square Root: 88.71865643707642

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

Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p). A239955

Number of ordered triples (i,j,k) with |i|, |j|, |k|, |i·j*k| <= n. A226359

The value of n for which the two-player impartial {0,1}-Toggle game on a generalized Petersen graph GP(n,2) with a (1,0)-weight assignment is a next-player winning game. A361517

Perfect Abs. Real part of complex z such that Abs[(Total[Divisors[z]]-z)]=Abs[z]. A101367

Least odd number k such that x' = k has n solutions, where x' is the arithmetic derivative (A003415) of x. A189560

Triangle of coefficients of polynomials v(n,x) jointly generated with A209999; see the Formula section. A210287

a(n) = ∑_k=1..n k * τ(k)², where τ is A000005. A320896

a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ). A11937

Partial sums of A035282. A78472

Odd numbers n for which 13 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1. A112076