Properties of the Number 78804

Seventy-Eight Thousand Eight Hundred Four

Basics

Value: 78803 → 78804 → 78805

Parity: even

Prime: No

Previous Prime: 78803

Next Prime: 78809

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 11 × 199

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011001111010100

Octal: 231724

Duodecimal: 39730

Hexadecimal: 133d4

Square: 6210070416

Square Root: 280.72050156695

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 6's in all partitions of n. A24790

Trajectory of 397 under the map A340008: n -> n/2 if n is even, n-> n² - 1 if n is an odd prime, otherwise n -> n - 1. A340419

Length of the long leg in the unique primitive Pythagorean triple (x,y,z) such that (x-y+z)/2 is A000032(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A382379

Number of 5-step one space at a time bishop's tours on an n X n board summed over all starting positions. A187158

Number of (n+1) X 3 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. A207044

a(0) = 397; a(n+1) = a(n)² if a(n) is prime, floor(a(n)/2) otherwise. A376801

G.f. = φ⁴*F², where φ = g.f. for A028930, F = g.f. for A028959. A328533

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A207050

Triangular array T given by T(n,k)= number of 01-words of length n having exactly k 1's and every runlength of 1's odd. A78804