Properties of the Number 72303

Seventy-Two Thousand Three Hundred Three

Basics

Value: 72302 → 72303 → 72304

Parity: odd

Prime: No

Previous Prime: 72287

Next Prime: 72307

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 11 × 313

Divisors: 1, 3, 7, 11, 21, 33, 77, 231, 313, 939

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101001101111

Octal: 215157

Duodecimal: 35A13

Hexadecimal: 11a6f

Square: 5227723809

Square Root: 268.89217169713214

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

Odd numbers with exactly 4 distinct palindromic prime factors. A46406

Integers that reach the (47360, 29127) cycle described in A234534, after iterations of numerator(σ(n)/n) = A017665(n). A249614

Expansion of ∏_m>=1 (1-m·q^m)^-11. A22735

Multiplicity of highest weight (or singular) vectors associated with character chi₁₀ of Monster module. A34398

Numbers n for which n is congruent to n² mod φ(n). A72303

Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order. A204965