Properties of the Number 13065

Thirteen Thousand Sixty-Five

Basics

Value: 13064 → 13065 → 13066

Parity: odd

Prime: No

Previous Prime: 13063

Next Prime: 13093

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 13 × 67

Divisors: 1, 3, 5, 13, 15, 39, 65, 67, 195, 201

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100001001

Octal: 31411

Duodecimal: 7689

Hexadecimal: 3309

Square: 170694225

Square Root: 114.30223094935637

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 k² is palindromic in base 8. A29805

-3-Knödel numbers. A225507

Numerator of variance of first n primes. A301275

Number of vertices formed in a square by straight line segments when connecting the n+1 points along each edge that divide it into n equal parts to the n+1 points on the edge on the opposite side of the square. A355839

Number of primes of the form 7k+2 less than 10ⁿ. A91121

G.f.: 1/(1 - x/(1 - x³/(1 - x⁴/(1 - x⁷/(1 - x¹¹/(1 - x¹⁸/(1 -...- x^Lucas(n)/(1 -...)))))))), a continued fraction. A206742

a(n) = 5·a(n-1) + 14·a(n-2), a(0)=1, a(1)=5. A53573

Numbers k that divide 2^k+3 - 1. A69927

a(n) = n*(29·n + 1)/2. A22287

McKay-Thompson series of class 15A for Monster. A58508