Properties of the Number 27813

Twenty-Seven Thousand Eight Hundred Thirteen

Basics

Value: 27812 → 27813 → 27814

Parity: odd

Prime: No

Previous Prime: 27809

Next Prime: 27817

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 73 × 127

Divisors: 1, 3, 73, 127, 219, 381, 9271, 27813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010100101

Octal: 66245

Duodecimal: 14119

Hexadecimal: 6ca5

Square: 773562969

Square Root: 166.77229985821987

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

a(n) is the number of times that sums 1+-4+-9+-16+-...+-n² of the first n squares is zero. There are 2^n-1 choices for the sign patterns. A83527

Numbers that are the sum of eight fourth powers in exactly ten ways. A345842

Number of ways of partitioning the set of the first n positive squares into two subsets whose sums differ at most by 1. A307877

Expansion of (1/x) * Series_Reversion( x/(x+1/(1+x³)) ). A370837

Number of n X 4 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing. A266543

Numbers k such that 263·2^k+1 is prime. A32508

Numbers k such that (26·10^k - 167)/3 is prime. A294678

Even numbers for which all divisors, with the exception of 1 and 2, are isolated. A positive divisor, k, of n is isolated if neither (k-1) nor (k+1) divides n. A132895

a(n) = 14*(n+1)*binomial(n+5,8). A27813