Properties of the Number 78336

Seventy-Eight Thousand Three Hundred Thirty-Six

Basics

Value: 78335 → 78336 → 78337

Parity: even

Prime: No

Previous Prime: 78317

Next Prime: 78341

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁹ × 3 ² × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001000000000

Octal: 231000

Duodecimal: 39400

Hexadecimal: 13200

Square: 6136528896

Square Root: 279.8856909525744

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 invertible 2 X 2 matrices mod n. A252

Number of the Lipschitz quaternions in a reduced system modulo n. A227499

T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabelled 6-colorings with no clashing color pairs). A233174

Orders of the finite groups GL₂(K) when K is a finite field with q = A246655(n) elements. A59238

a(n) = n*(n-1)*(n-2)². A47927

Number of 2 X 2 matrices with entries mod n and nonzero determinant. A5353

Expansion of (1+2·x-4·x²)/((2·x+1)*(2·x-1)*(4·x²+4·x-1)). A110047

Order of GL₂(p), the general linear group over F_p, where p runs through the primes. A244509

Orders of the finite groups Aut(GL₂(K)) when K is a finite field with q = A246655(n) elements. A353247

Numbers k such that A000005(k) = A000688(k). A369168