Properties of the Number 13815

Thirteen Thousand Eight Hundred Fifteen

Basics

Value: 13814 → 13815 → 13816

Parity: odd

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 307

Divisors: 1, 3, 5, 9, 15, 45, 307, 921, 1535, 2763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010111110111

Octal: 32767

Duodecimal: 7BB3

Hexadecimal: 35f7

Square: 190854225

Square Root: 117.53722814495839

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

Partial sums of the central trinomial coefficients (A002426). A97893

Sum of parts of the n-th subsection of the head of the last section of the set of partitions of any odd integer >= 2n+1. A182995

Odd integers that do not generate monotonically decreasing infinitary aliquot sequences. A127667

Integers n of the form 8k+7 that are sum of distinct squares of the form m, m+1, m+2, m+4, where m == 1 (mod 4). A243578

Number of partitions of 9·n-8 into parts having in decimal representation digital root 1. A156145

Number of n element multisets of the 15th roots of unity with zero sum. A321418

Number of parts in all partitions of n in which no part occurs more than twice. A185350

Number of nonempty subsets of {1, 2, ..., n} with <= 4 pairwise coprime elements. A187265

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>=0. A211612

Difference between π(10ⁿ) and A226945(n), where π(x) is the number of primes <= x. A228724