Properties of the Number 13689

Thirteen Thousand Six Hundred Eighty-Nine

Basics

Value: 13688 → 13689 → 13690

Parity: odd

Prime: No

Previous Prime: 13687

Next Prime: 13691

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 13 ²

Divisors: 1, 3, 9, 13, 27, 39, 81, 117, 169, 351

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101111001

Octal: 32571

Duodecimal: 7B09

Hexadecimal: 3579

Square: 187388721

Square Root: 117

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

a(n) = period of the sequence {b(m), m>=0}, defined by b(m):=binomial(m+n,n) mod n. A133900

Numbers n such that n = product (p_k)^c_k and set of its (c_k k's)'s is a self-conjugate partition, where p_k is k-th prime and c_k > 0. A88902

Perfect powers of nonsquarefree numbers k that are not squareful. A386762

a(n) = (4·n + 1)². A16814

a(n) = (3·n)². A16766

Squares n² such that floor(n²/9) is again a square. A204503

a(n) = (6·n+3)². A16946

Largest square <= n³. A65733

3ⁿ with digits rearranged into nondecreasing order. A321540

Numbers with prime factorization p²*q⁴. A189988