Properties of the Number 13197

Thirteen Thousand One Hundred Ninety-Seven

Basics

Value: 13196 → 13197 → 13198

Parity: odd

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 53 × 83

Divisors: 1, 3, 53, 83, 159, 249, 4399, 13197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110001101

Octal: 31615

Duodecimal: 7779

Hexadecimal: 338d

Square: 174160809

Square Root: 114.8781963646714

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 n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n. A63048

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k. A88753

T(n,k)=Number of nXk nonnegative integer arrays with each row and column increasing from zero by 0 or 1. A202756

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)³. A372928

G.f. A(x) satisfies A(x)² = A(x²) + 2·A(x³). A377255

Numbers k such that (10^2·k+1 + 36·10^k - 1)/9 is prime. A107125

Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted. A166537

Number of n X 5 nonnegative integer arrays with each row and column increasing from zero by 0 or 1. A202753

Number of nX7 nonnegative integer arrays with each row and column increasing from zero by 0 or 1. A202755

Number of 3 X n 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing. A229446