Properties of the Number 83289

Eighty-Three Thousand Two Hundred Eighty-Nine

Basics

Value: 83288 → 83289 → 83290

Parity: odd

Prime: No

Previous Prime: 83273

Next Prime: 83299

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 27763

Divisors: 1, 3, 27763, 83289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010101011001

Octal: 242531

Duodecimal: 40249

Hexadecimal: 14559

Square: 6937057521

Square Root: 288.59833679354426

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(5+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. A252145

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

Least k such that 10ⁿ+k is a brilliant number (cf. A078972). A83289