Properties of the Number 13165

Thirteen Thousand One Hundred Sixty-Five

Basics

Value: 13164 → 13165 → 13166

Parity: odd

Prime: No

Previous Prime: 13163

Next Prime: 13171

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 2633

Divisors: 1, 5, 2633, 13165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101101101

Octal: 31555

Duodecimal: 7751

Hexadecimal: 336d

Square: 173317225

Square Root: 114.73883387938018

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

Spt function: total number of smallest parts (counted with multiplicity) in all partitions of n. A92269

Numbers k such that 5·2^k + 1 is prime. A2254

Numbers n such that 5·2ⁿ + 1 is a prime factor of a generalized Fermat number 3^{2^m} + 1 for some m. A268661

Numbers n such that 5·2ⁿ + 1 is a prime factor of a generalized Fermat number 5^{2^m} + 1 for some m. A268662

a(1) = 0, and for n > 1, a(n) = 2·a(A252463(n)) + [n == 1 (mod 2)]*[J(3∣n) == -1], where J is the Jacobi-symbol. A292255

Let b(1)=1, b(2)=2, b(n) = sum of digits of b(1)+b(2)+b(3)+...+b(n-1), sequence gives values of n such that b(n)=3. A84229

Numbers k such that the continued fraction for sqrt(k) has period 33. A20372

Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n. A76164

Sequence of coefficients of·in marked mesh pattern generating function Q_n,132^3,0,-,0(x). A213163

Numbers k such that 5·2^k + 1 is a prime factor of a generalized Fermat number 7^{2^m} + 1 for some m. A282945