Properties of the Number 13397

Thirteen Thousand Three Hundred Ninety-Seven

Basics

Value: 13396 → 13397 → 13398

Parity: odd

Prime: Yes

Previous Prime: 13381

Next Prime: 13399

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13397

Divisors: 1, 13397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001010101

Octal: 32125

Duodecimal: 7905

Hexadecimal: 3455

Square: 179479609

Square Root: 115.74541027617467

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

Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5. A75585

Primes p such that p's set of distinct digits is {1,3,7,9}. A108386

Number of inequivalent colorings of series-reduced balanced rooted trees with n leaves. A320173

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,1,1,1 for x=0,1,2,3,4. A197401

Lesser of twin primes for which the gap before the following twin primes is a record. A113275

Smallest member of a pair of consecutive twin prime pairs that have exactly n primes between them. A89637

Primes of the form 256 k + 85. A127593

Positions of records in A166133. A256404

Let (p1,p2), (p3,p4) be pairs of twin primes with p1·p2=p3+p4-1; sequence gives values of p1. A47976

a(n) = (4·7ⁿ + (-3)ⁿ)/5. A83300