Properties of the Number 13614

Thirteen Thousand Six Hundred Fourteen

Basics

Value: 13613 → 13614 → 13615

Parity: even

Prime: No

Previous Prime: 13613

Next Prime: 13619

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2269

Divisors: 1, 2, 3, 6, 2269, 4538, 6807, 13614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010100101110

Octal: 32456

Duodecimal: 7A66

Hexadecimal: 352e

Square: 185340996

Square Root: 116.67904696216884

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

Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k. A62944

a(n) = n!*LaguerreL(n, -7·n). A277421

Number of times a multiple of four is encountered when iterating from 2ⁿ⁺¹-2 to (2ⁿ)-2 with the map x -> x - (number of runs in binary representation of x). A255125

Number of integer partitions of n whose multiplicities appear with relatively prime multiplicities. A319160

Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number. A32549

a(n) = n² - (n-1)² - (n-2)² - ... - 1². A179297

6 times centered hexagonal numbers: 18·n*(n+1) + 6. A164016

Number of square twice-partitions of n. A306318

Numbers n such that 2·10ⁿ - 7 is prime. A102946

Number of partitions of n into parts not of the form 15k, 15k+7 or 15k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 6 are greater than 1. A35961