Properties of the Number 78821

Seventy-Eight Thousand Eight Hundred Twenty-One

Basics

Value: 78820 → 78821 → 78822

Parity: odd

Prime: No

Previous Prime: 78809

Next Prime: 78823

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 23 ² × 149

Divisors: 1, 23, 149, 529, 3427, 78821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001111100101

Octal: 231745

Duodecimal: 39745

Hexadecimal: 133e5

Square: 6212750041

Square Root: 280.7507791618752

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) = least k such that the remainder when 7^k is divided by k is n. A119715

Let q(p) be the smallest prime greater than the prime p. A positive integer n is included in this sequence if n+1 is divisible by q(p) for each prime p dividing n. A163619

Dimensions of the invariant subspaces in a sequence of modules of dimension (n+1)^n-1 over the symmetric groups S_n. A108915

Triangular array T given by T(n,k) = number of 01-words of length n having exactly k 1's and all runlengths odd. A78821

a(n) is the number of tuples (t₁, ..., t_n) with integers 2 <= t₁ <= ... <= t_n such that 2ⁿ + 1 = ∏_{i = 1..n} (2 + 1/t_i). A356210