Properties of the Number 7882

Seven Thousand Eight Hundred Eighty-Two

Basics

Value: 7881 → 7882 → 7883

Parity: even

Prime: No

Previous Prime: 7879

Next Prime: 7883

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 563

Divisors: 1, 2, 7, 14, 563, 1126, 3941, 7882

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011001010

Octal: 17312

Duodecimal: 468A

Hexadecimal: 1eca

Square: 62125924

Square Root: 88.78062851771213

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

Second differences of partition numbers A000041. A53445

T(n,k)=Number of 0..k arrays of length n with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..k order. A212829

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

Expansion of ∏_m>=1 (1+q^m)^-6. A22601

First of two sequences bisecting the second differences of the partition numbers (see A053445). A160644

Table of the elementary symmetric functions a_k(1,3,4,...,n+1). A196841

McKay-Thompson series of class 8c for the Monster group. A112145

McKay-Thompson series of class 16a for the Monster group. A112150

Triangle read by rows: coefficients of polynomials p(k) = (-x + k + 1)*p(k-1), starting p(0)=1, p(1)=1-x. A123319

McKay-Thompson series of class 30D for the Monster group with a(0) = 2. A205962