Properties of the Number 77825

Seventy-Seven Thousand Eight Hundred Twenty-Five

Basics

Value: 77824 → 77825 → 77826

Parity: odd

Prime: No

Previous Prime: 77813

Next Prime: 77839

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 11 × 283

Divisors: 1, 5, 11, 25, 55, 275, 283, 1415, 3113, 7075

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000000000001

Octal: 230001

Duodecimal: 39055

Hexadecimal: 13001

Square: 6056730625

Square Root: 278.97132469126643

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) = n*(13·n² - 7)/6. A62025

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nXk array. A221446

Number of bipartite partitions of n white objects and 4 black ones. A465

Expansion of 5*(1-2·x)/(1-3·x-2·x²+4·x³). A189318

Sum of the squares of the larger parts of the partitions of 2n into two squarefree parts. A280322

a(n) = 1 + (n+6)*2^n-1. A115618

a(n) = 76·n² + 1. A158767

Hilltop maps: number of 2 X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 2 X n array. A221447

T(n,k)=Number of -k..k arrays of length n with the sum ahead of each element differing from the sum following that element by k or less. A221967

Expansion of (1-x)^-1/(1-2·x-3·x²-3·x³). A77825