Properties of the Number 13297

Thirteen Thousand Two Hundred Ninety-Seven

Basics

Value: 13296 → 13297 → 13298

Parity: odd

Prime: Yes

Previous Prime: 13291

Next Prime: 13309

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13297

Divisors: 1, 13297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111110001

Octal: 31761

Duodecimal: 7841

Hexadecimal: 33f1

Square: 176810209

Square Root: 115.31261856362468

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

T(n,m) = number of 1..m integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171275

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

Number of ordered triples (a, b, c) with gcd(a, b, c) = 1 and 1 <= {a, b, c} <= n. A71778

Primes of the form 9x² + 6xy + 1849y². A244019

Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes. A64687

T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nXk array. A220226

Primes of the form x² + 1848·y². A139668

Greatest number having exactly n representations as ab+ac+bc with 0 < a < b < c. A94377

A variation on Flavius's sieve (A000960): Start with the primes; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate. A99207

Sum of n-th powers of the roots of x³ +25·x² + 31·x - 1. A248417