Properties of the Number 27798

Twenty-Seven Thousand Seven Hundred Ninety-Eight

Basics

Value: 27797 → 27798 → 27799

Parity: even

Prime: No

Previous Prime: 27793

Next Prime: 27799

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 41 × 113

Divisors: 1, 2, 3, 6, 41, 82, 113, 123, 226, 246

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010010110

Octal: 66226

Duodecimal: 14106

Hexadecimal: 6c96

Square: 772728804

Square Root: 166.7273222960172

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

Sum of all the parts in the partitions of n into 8 squarefree parts. A326444

a(n) = 121·n² - 204·n + 86. A157440

Number of set partitions of [n] such that for each block b the smallest integer interval containing b has at most three elements and for at least one block c the smallest integer interval containing c has exactly three elements. A320553

a(1) = 1; for n > 1, a(n) = n·a(n-1) if n is a prime, otherwise a(n) = floor(a(n-1)/A020639(n)), where A020639(n) is the smallest prime divisor of n. A330252

Hyper-Wiener index of body-centered cubic grid cells in a row. A302351

Triangle read by rows: row n gives coefficients of expansion of q-tangent number T_2n+1(q) in powers of q. A143194

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 169", based on the 5-celled von Neumann neighborhood. A270463

Number of permutations of length n which avoid the patterns 1234, 3421, 4312. A116756

a(n) = 26*(n+1)*binomial(n+3,13). A27798

prime(n) mod (digital root(prime(n))). A179656