Properties of the Number 27844

Twenty-Seven Thousand Eight Hundred Forty-Four

Basics

Value: 27843 → 27844 → 27845

Parity: even

Prime: No

Previous Prime: 27827

Next Prime: 27847

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 6961

Divisors: 1, 2, 4, 6961, 13922, 27844

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110011000100

Octal: 66304

Duodecimal: 14144

Hexadecimal: 6cc4

Square: 775288336

Square Root: 166.86521506892922

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+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 4 5 6 7 or 8. A251499

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n; then a(n) is the trace of M(n)^-7. A114359

Expansion of ∏_k>=1 (1+x^k)^A002203(k). A261332

Triangle of coefficients of polynomials u(n,x) jointly generated with A210599; see the Formula section. A210598

Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock summing to 4 5 6 7 or 8. A251492

Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock summing to 4 5 6 7 or 8. A251494

The number of 4-connected triangulations of the triangle with n inner vertices. A262322

Number of subgroups of index n of fundamental group of the non-orientable cycle bundle over the Klein bottle. A27844