Properties of the Number 56643

Fifty-Six Thousand Six Hundred Forty-Three

Basics

Value: 56642 → 56643 → 56644

Parity: odd

Prime: No

Previous Prime: 56633

Next Prime: 56659

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 79 × 239

Divisors: 1, 3, 79, 237, 239, 717, 18881, 56643

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101110101000011

Octal: 156503

Duodecimal: 28943

Hexadecimal: dd43

Square: 3208429449

Square Root: 237.99789915039167

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+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7. A252457

G.f. satisfies A(x) = exp( ∑_k>=1 A(x^k) * x^k/(k * (1 - 2·x^k)) ). A363545

Least common multiple of 7·n+1 and 7·n-1. A282286

G.f.: [∑_n>=0 x^n*(n+1/2) * (1+x)ⁿ ]³. A182152

Non-palindromic numbers such that the two largest proper divisors are palindromes having at least two digits and no other divisor is a palindrome with at least two digits. A74889

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7. A252451

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7. A252456

Sum(prime(k),k=1..n)²-1. A92780

Variation on Fermat's Diophantine m-tuple: 1 + the GCD of any two distinct terms is a square. A274697

Numbers n such that n | 4ⁿ + 3ⁿ + 2ⁿ + 1ⁿ. A56643