Properties of the Number 13678

Thirteen Thousand Six Hundred Seventy-Eight

Basics

Value: 13677 → 13678 → 13679

Parity: even

Prime: No

Previous Prime: 13669

Next Prime: 13679

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 977

Divisors: 1, 2, 7, 14, 977, 1954, 6839, 13678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101101110

Octal: 32556

Duodecimal: 7ABA

Hexadecimal: 356e

Square: 187087684

Square Root: 116.9529820055906

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

Number of permutations of order n avoiding the consecutive pattern 131'2. A177475

Strings of 5 digits from 1...9, such that no formula using the single digits in the given order exists that evaluates to 0. A288355

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-3) + b(n-1), where a(0) = 1, a(1) = 2, a(2) = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295613

a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)ⁿ⁺¹*n if n is prime, otherwise = 0, where p = largest prime < n. A2120

Number of primes in level n of the tree generated at A234960. A234961

a(n) is the least integer that has exactly n anagrams that are primes. A46890

Nearest integer to 1 / ∑_{p prime, 2ⁿ < p <= 2ⁿ⁺¹} (Kronecker(-1/p)/p). A166510

Smallest number m with nonzero digits such that A046810(m)=n. A46813

Number of permutations of length n which avoid the patterns 1234, 1324, 1432. A116821

Mersenne primes (primes of the form 2ⁿ - 1). A668