Properties of the Number 27805

Twenty-Seven Thousand Eight Hundred Five

Basics

Value: 27804 → 27805 → 27806

Parity: odd

Prime: No

Previous Prime: 27803

Next Prime: 27809

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 67 × 83

Divisors: 1, 5, 67, 83, 335, 415, 5561, 27805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010011101

Octal: 66235

Duodecimal: 14111

Hexadecimal: 6c9d

Square: 773118025

Square Root: 166.74831333479807

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

T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right n+k-4 and value increasing by 0 or 1 with every step right or down. A252876

4th column of number array A083075. A83079

Coefficient of·in the reduction of the polynomial (x+2)ⁿ by x³->x²+x+1. A192802

Number of n X 4 nonnegative integer arrays with upper left 0 and lower right n+4-4 and value increasing by 0 or 1 with every step right or down. A252872

Numbers whose set of base-12 digits is {1,4}. A32824

Base-9 palindromes that start with 4. A43031

Number of white square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A230985

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 395", based on the 5-celled von Neumann neighborhood. A271687

Squarefree terms of A276655. A276756

G.f. A(x) satisfies: the sum of the coefficients of x^k, k=0..n, in A(x)ⁿ equals ∑_k=0..n C(n,k)³ = A000172(n) (Franel numbers), for n>=0. A232687