Properties of the Number 13199

Thirteen Thousand One Hundred Ninety-Nine

Basics

Value: 13198 → 13199 → 13200

Parity: odd

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 67 × 197

Divisors: 1, 67, 197, 13199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110001111

Octal: 31617

Duodecimal: 777B

Hexadecimal: 338f

Square: 174213601

Square Root: 114.88690090693542

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

Geometric mean of the digits = 3. In other words, the product of the digits is = 3^k where k is the number of digits. A61427

a(n) = n³ - (n+1)². A153257

Number of unlabeled rooted trees with n vertices such that every branch of the root has the same number of leaves. A298533

Number of partitions of n such that neither the number of parts nor the number of distinct parts is a part. A241380

Numerators of the partial sums of the reciprocals of the number of abelian groups function (A000688). A379359

a(n) = 400·n - 1. A158317

a(n) = (2·n+1)*(6·n-1). A179741

a(n) is the smallest k such that (n+1)*φ(k) = (n-1)*ψ(k). A291932

Odd composite integers m such that A004254(3·m-J(m,21)) == 5·J(m,21) (mod m) and gcd(m,21)=1, where J(m,21) is the Jacobi symbol. A340240

G.f. A(x) satisfies A(x) = 1 - x/A(x)² * (1 - A(x) - A(x)⁵). A371915