Properties of the Number 13389

Thirteen Thousand Three Hundred Eighty-Nine

Basics

Value: 13388 → 13389 → 13390

Parity: odd

Prime: No

Previous Prime: 13381

Next Prime: 13397

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 4463

Divisors: 1, 3, 4463, 13389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001001101

Octal: 32115

Duodecimal: 78B9

Hexadecimal: 344d

Square: 179265321

Square Root: 115.71084650973737

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

Row sums of triangle A126460. A126464

Hexagonal spiral constructed on the nodes of the triangular net in which each new term is the sum of its neighbors. A278181

Expansion of ∏_k>=0 1/(1-x^4·k+3)^4·k+3. A285131

Number of positive integers <= 10ⁿ that are divisible by no prime exceeding 17. A108275

G.f. A(x) satisfies: A(x) = Series_Reversion( x - (A(x)² + A(-x)²)/2 ). A227852

Expansion of ∏_k>=0 1/(1 + x^4·k+3)^4·k+3. A285311

Number of permutations of [n] having no isolated entries. An entry j of a permutation p is isolated if it is not preceded by j-1 and not followed by j+1. For example, the permutation 23178564 has 2 isolated entries: 1 and 4. A180564

Number of symmetrically unique Dyck paths of semilength n and height three. A291887

a(1)=1. a(n) = the numerator of the sum of the reciprocals of the earlier terms of the sequence which are coprime to n. A127009

Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241057