Properties of the Number 13300

Thirteen Thousand Three Hundred

Basics

Value: 13299 → 13300 → 13301

Parity: even

Prime: No

Previous Prime: 13297

Next Prime: 13309

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ² × 7 × 19

Divisors: 1, 2, 4, 5, 7, 10, 14, 19, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111110100

Octal: 31764

Duodecimal: 7844

Hexadecimal: 33f4

Square: 176890000

Square Root: 115.32562594670796

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

4-dimensional pyramidal numbers: a(n) = n²*(n²-1)/12. A2415

Multiples of 7 whose sum of digits is equal to 7. A63416

Number of rounds of shuffling required to restore a deck of n cards to its original order: shuffling is done by keeping first card, putting second at end of deck, keeping next, putting next at end and so on. A51732

a(n) = (2/(n-1))*a(n-1) + ((n+5)/(n-1))*a(n-2) with a(0)=0 and a(1)=1. A96338

T(n,k)=Number of length-n 0..k arrays with no repeated value equal to the previous repeated value. A269467

Lesser of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = ψ(n) - n and ψ(n) = A001615(n) is the Dedekind ψ function. A323329

a(n) = (3·n+1)*(4·n+1). A33577

19-gonal (or enneadecagonal) numbers: n(17n-15)/2. A51871

Table T(n,k) giving number of two-legged knot diagrams with n >= 0 self-intersections and k >= 0 tangencies, read by antidiagonals. A67640

a(n) = n*(n+1)*(11·n+1)/6. A132112