Properties of the Number 27966

Twenty-Seven Thousand Nine Hundred Sixty-Six

Basics

Value: 27965 → 27966 → 27967

Parity: even

Prime: No

Previous Prime: 27961

Next Prime: 27967

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 59 × 79

Divisors: 1, 2, 3, 6, 59, 79, 118, 158, 177, 237

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110100111110

Octal: 66476

Duodecimal: 14226

Hexadecimal: 6d3e

Square: 782097156

Square Root: 167.23038001511568

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

Coefficient of xⁿ in 1/((1+x)*(1-x)^n-1). A91526

Expansion of 1/((1+x)*(1-x)⁹). A1780

Triangular numbers n such that σ(n) is a square number. A256151

T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203661

Third row of Pascal-(1,6,1) array A081581. A81591

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202674 based on (1,3,5,7,9,...); by antidiagonals. A202675

Triangular numbers which are an average of four consecutive primes. A226196

Triangular numbers that are the product of four distinct primes. A333771

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,11. A64242

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45. A64259