Properties of the Number 8782

Eight Thousand Seven Hundred Eighty-Two

Basics

Value: 8781 → 8782 → 8783

Parity: even

Prime: No

Previous Prime: 8779

Next Prime: 8783

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 4391

Divisors: 1, 2, 4391, 8782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001001110

Octal: 21116

Duodecimal: 50BA

Hexadecimal: 224e

Square: 77123524

Square Root: 93.71232576347681

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

Rectangular table, read by ascending antidiagonals, in which the n-th row o.g.f. R(n,x) satisfies: [x^m] exp( m*(m+1) * x·R(n,x)ⁿ ) / R(n,x)^m+1 = 0 for m >= 1, n >= 0. A393620

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n+1) * x·A(x) ) / A(x)ⁿ⁺¹ = 0 for n > 0. A393621

Number of essential graphs with n nodes (in 1-1 correspondence with Markov equivalence classes of acyclic digraphs). A7984

Cube root of A061096(n). A67177

a(n) is the least number whose cube is an n-digit cube which has the maximum sum of digits (A373727(n)). A379869

Number of partitions of 9·n-8 into parts having in decimal representation digital root 1. A156145

Numbers n such that n² + 1 and (n+1)² + 1 are divisible by a square. A217798

Numbers k such that sigma₀(k-1) + sigma₀(k) + sigma₀(k+1) = 10, where sigma₀(k) = A000005(k). A317670

Molien series for symmetrized weight enumerators of self-dual codes over GF(4) + GF(4)u with u² = 0. A92549

Consider the ordered Goldbach partitions of the even numbers m. Then a(n) is the least m which contains prime(n) such partitions composed of odd primes. A216047