Properties of the Number 78306

Seventy-Eight Thousand Three Hundred Six

Basics

Value: 78305 → 78306 → 78307

Parity: even

Prime: No

Previous Prime: 78301

Next Prime: 78307

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 31 × 421

Divisors: 1, 2, 3, 6, 31, 62, 93, 186, 421, 842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011000111100010

Octal: 230742

Duodecimal: 39396

Hexadecimal: 131e2

Square: 6131829636

Square Root: 279.83209251263514

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

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order. A263506

G.f. A(x) satisfies A(x) = 1 - x/A(x)² * (1 - A(x) - A(x)⁵). A371915

Number of (n+1)X(2+1) arrays of permutations of 0..n·3+2 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order. A263504

Number of (3+1)X(n+1) arrays of permutations of 0..n·4+3 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order. A263509

a(n) = ∑_{d divides n} (-1)^n/d+1*d². A78306