Properties of the Number 10309

Ten Thousand Three Hundred Nine

Basics

Value: 10308 → 10309 → 10310

Parity: odd

Prime: No

Previous Prime: 10303

Next Prime: 10313

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 13 ² × 61

Divisors: 1, 13, 61, 169, 793, 10309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001000101

Octal: 24105

Duodecimal: 5B71

Hexadecimal: 2845

Square: 106275481

Square Root: 101.53324578678651

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 inseparable partitions of n; see Comments. A325535

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252433

Number of compositions of n with distinct circular differences. A325551

Number of regions in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357058

Number of magic labelings of the prism graph I X C₆ having magic sum n. A292281

Odd composite numbers n, not squares of primes, such that (A001065(n) - A032742(n)) divides (n - A032742(n)), where A032742 gives the largest proper divisor, and A001065 is the sum of proper divisors. A326064

Field discriminant of n-th composite, f(f(...f(r)...)), where r = 3 and f(x) = [x,x,x, ...] (continued fraction). A260457

Expansion of (χ(q)⁴ / χ(-q))² in powers of q where χ() is a Ramanujan θ function. A143895

Numbers with digit sum 13 that are multiples of 13. A283737

Composite numbers n such that (A001065(n) - A032742(n)) divides (n - A032742(n)), where A032742 gives the largest proper divisor, and A001065 is the sum of proper divisors. A326063