Properties of the Number 78440

Seventy-Eight Thousand Four Hundred Forty

Basics

Value: 78439 → 78440 → 78441

Parity: even

Prime: No

Previous Prime: 78439

Next Prime: 78467

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 5 × 37 × 53

Divisors: 1, 2, 4, 5, 8, 10, 20, 37, 40, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001001101000

Octal: 231150

Duodecimal: 39488

Hexadecimal: 13268

Square: 6152833600

Square Root: 280.07141946296485

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 walks from (0,0) to (n,n) in the region 0 <= x-y <= 4 with the steps (1,0), (0, 1), (2,0) and (0,2). A127618

a(n) = 196·n² + 2·n. A158222

a(n) = 1600·n² + 40. A158775

a(n) = 49·n² + n. A173141

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (1, 0, 1), (1, 1, -1), (1, 1, 1)}. A150975

Sixth (unsigned) column sequence of coefficient triangle A062137 of generalized Laguerre polynomials n!*L(n,3,x). A62144

Numbers n with property that n is not a power of 2 and the finite sequence n, f(n), f(f(n)), ...., 1 in the Collatz (or 3x + 1) problem contains exactly one prime. (The earliest "1" is meant.) A78440