Properties of the Number 27808

Twenty-Seven Thousand Eight Hundred Eight

Basics

Value: 27807 → 27808 → 27809

Parity: even

Prime: No

Previous Prime: 27803

Next Prime: 27809

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 11 × 79

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 79

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010100000

Octal: 66240

Duodecimal: 14114

Hexadecimal: 6ca0

Square: 773284864

Square Root: 166.75730868540666

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

Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5·n-2)/6. A2413

Sum of all the parts in the partitions of 4n into 4 parts. A238328

Number of flags in an n-dimensional vector space over GF(2). A289545

A(n,k) is the sum over all ordered partitions of [n] of k^j for an ordered partition with j inversions; square array A(n,k), n>=0, k>=0, read by antidiagonals. A381426

Partial sums of A128379. A128378

Composites k such that the concatenation of the prime factors of k, with multiplicity, in some order is divisible by k. A322843

Number of Motzkin excursions of length n with an odd number of humps and an even number of peaks. A325924

Sum of all the parts in the partitions of n into 4 parts. A308775

a(n) = ∑_{k=0..floor(n/2)} (-1)^k * binomial(3·n-2·k-3,n-2·k). A390681

Number of binary words of length n containing no subword 100001. A210031