Properties of the Number 13705

Thirteen Thousand Seven Hundred Five

Basics

Value: 13704 → 13705 → 13706

Parity: odd

Prime: No

Previous Prime: 13697

Next Prime: 13709

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 2741

Divisors: 1, 5, 2741, 13705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110001001

Octal: 32611

Duodecimal: 7B21

Hexadecimal: 3589

Square: 187827025

Square Root: 117.06835610018618

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

Expansion of e.g.f. ∏_i>=1 (1 + xⁱ)^1/i. A168243

Number of ways writing 2ⁿ as unordered sums of 2 primes. A6307

a(1) = 2; a(n+1) = a(n)-th composite. A22450

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(1/(1-x)^k - 1). A294046

Number of partitions of n that do not contain 4 as a part. A27338

a(n) is the lower end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388). A350098

Start of record gap in odd semiprimes A046315. A114057

Number of parts in all partitions of n in which no part occurs more than six times. A320609

Expansion of e.g.f.: exp(1/(1-x)⁵ - 1). A294051

Non-Brauer numbers. A349044