Properties of the Number 13697

Thirteen Thousand Six Hundred Ninety-Seven

Basics

Value: 13696 → 13697 → 13698

Parity: odd

Prime: Yes

Previous Prime: 13693

Next Prime: 13709

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13697

Divisors: 1, 13697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110000001

Octal: 32601

Duodecimal: 7B15

Hexadecimal: 3581

Square: 187607809

Square Root: 117.0341830406826

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 of the form 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

a(0) = 0. For n > 0, smallest non-palindromic number k such that the smallest palindrome in the Reverse and Add! trajectory of k is reached after exactly n iterations. A23109

Primes congruent to 3 mod 41. A142200

Primes of the form 128·k + 1. A208177

Primes which are the sum of three positive 4th powers. A85318

Prime numbers that are the sum of three distinct positive fourth powers. A126657

Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number). A55472

Primes p such that (p³² + 1)/2 is prime. A341224

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

a(n) = 384·n + 257. A229855