Properties of the Number 65307

Sixty-Five Thousand Three Hundred Seven

Basics

Value: 65306 → 65307 → 65308

Parity: odd

Prime: No

Previous Prime: 65293

Next Prime: 65309

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 1979

Divisors: 1, 3, 11, 33, 1979, 5937, 21769, 65307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111100011011

Octal: 177433

Duodecimal: 31963

Hexadecimal: ff1b

Square: 4265004249

Square Root: 255.55234297497645

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

Numbers k such that σ(φ(k)) = σ(k) where σ is the sum of divisors function A000203 and φ is the Euler totient function A000010. A33631

Sum of n-th row of triangle of 4th powers: 1; 1 16 1; 1 16 81 16 1; 1 16 81 256 81 16 1; ... (cf. A133824). A61803

Triangle read by rows: T(m,n) is the label of the largest square that an (m,n)-leaper (a generalization of a chess knight) reaches before it can no longer move, starting on a board with squares spirally numbered, starting at 1; 1 <= n < m. Each move is to the lowest-numbered unvisited square. A306197

Numbers k such that σ(k*φ(k)) = σ(k)². A82955

"Inverse" to A065306. A65307