Properties of the Number 27866

Twenty-Seven Thousand Eight Hundred Sixty-Six

Basics

Value: 27865 → 27866 → 27867

Parity: even

Prime: No

Previous Prime: 27851

Next Prime: 27883

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 13933

Divisors: 1, 2, 13933, 27866

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110011011010

Octal: 66332

Duodecimal: 14162

Hexadecimal: 6cda

Square: 776513956

Square Root: 166.93112352104984

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

Convolution of A000108 (Catalan numbers) with A020922. A45530

Triangle related to A001700 and A000302 (powers of 4). A46658

Numbers n for which number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224303

Let f(n) = floor(r·floor(r·n)) = A341254(n), where r = (2 + sqrt(5))/2. Let a(1) = 1. Then a(n) = f(a(n-1)) for n >= 2. A341255

a(1) = 1; for n>1, a(n)= smallest number greater than the previous term such that a(n-1)*a(n) + 1 is a palindrome. A81941

Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 or 01010101. A259737

a(n) = K₄(n) = ∑_k>=0 A090285(4,k)*2^k*binomial(n,k). a(n) = 2*(n⁴+14·n³+62·n²+91·n+21)/3. A90296

Numbers k such that 34·10^k - 3 is prime. A280018

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 or 01010101. A259742

Numbers k such that k² + (k+1)² + (k+2)² + (k+3)² + (k+4)² + (k+5)² is prime. A27866