Properties of the Number 13969

Thirteen Thousand Nine Hundred Sixty-Nine

Basics

Value: 13968 → 13969 → 13970

Parity: odd

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 61 × 229

Divisors: 1, 61, 229, 13969

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010010001

Octal: 33221

Duodecimal: 8101

Hexadecimal: 3691

Square: 195132961

Square Root: 118.1905241548577

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

Sum of third powers of three consecutive primes. A133530

Expansion of ∏_k>=1 (1 - k^k*x^k)^k. A294809

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1-j^k·j*x^j)^j in powers of x. A294808

Sizes of successive balls in D₄ lattice. A46949

Numbers·such that σ(x)-x divides x-1, other than prime powers. A59047

Row sums of triangle A084408. A84411

a(n) = (27·n² + 9·n + 2)/2. A93485

Coefficient of x² in minimal polynomial of the continued fraction [1ⁿ,φ,1,1,1,...], where 1ⁿ means n ones and φ = golden ratio = (1 + sqrt(5))/2. A266707

Compound filter (sum of proper divisors & prime signature): a(n) = P(A001065(n), A046523(n)), where P(n,k) is sequence A000027 used as a pairing function. A291765

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of exp(-∑_j>0 sigma_k(j)*x^j/j) in powers of x. A294947