Properties of the Number 82121

Eighty-Two Thousand One Hundred Twenty-One

Basics

Value: 82120 → 82121 → 82122

Parity: odd

Prime: No

Previous Prime: 82073

Next Prime: 82129

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13 × 6317

Divisors: 1, 13, 6317, 82121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000011001001

Octal: 240311

Duodecimal: 3B635

Hexadecimal: 140c9

Square: 6743858641

Square Root: 286.56761854752534

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 (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252144

a(n) = (n + 1)*(4·n² + 14·n + 9)/3. A268484

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148

Smallest difference > 1 between d and p/d for any divisor d of the partial product p of the sequence, starting with 7. A82121