Properties of the Number 27819

Twenty-Seven Thousand Eight Hundred Nineteen

Basics

Value: 27818 → 27819 → 27820

Parity: odd

Prime: No

Previous Prime: 27817

Next Prime: 27823

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 281

Divisors: 1, 3, 9, 11, 33, 99, 281, 843, 2529, 3091

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010101011

Octal: 66253

Duodecimal: 14123

Hexadecimal: 6cab

Square: 773896761

Square Root: 166.79028748701165

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

Total number of modes in all partitions of n. A372542

a(n) = round(n*φ¹⁴), where φ is the golden ratio, A001622. A4949

Decimal part of cube root of a(n) starts with 3: first term of runs. A34129

Numerator of the polynomial A_l(x) = ∑_d=1..l-1 x^l-d/d for index l=2n+1 evaluated at x=9. A145625

Number of n element 0..2 arrays with each element the minimum of 4 adjacent elements of a random 0..2 array of n+3 elements. A217879

Numerator of sum of numbers in set g(n) generated as in Comments. A264200

a(n) = ∑_k=0..n (k+1)*binomial(3·n-4·k+1,n-k)/(n-k+1). A279159

Numbers k such that 399·2^k+1 is prime. A323044

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, -1), (0, 1, -1), (1, 0, 1), (1, 1, -1)}. A149159

T(n,k) = number of n-element 0..2 arrays with each element the minimum of k adjacent elements of a random 0..2 array of n+k-1 elements. A217883