Properties of the Number 27296

Twenty-Seven Thousand Two Hundred Ninety-Six

Basics

Value: 27295 → 27296 → 27297

Parity: even

Prime: No

Previous Prime: 27283

Next Prime: 27299

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 853

Divisors: 1, 2, 4, 8, 16, 32, 853, 1706, 3412, 6824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101010100000

Octal: 65240

Duodecimal: 13968

Hexadecimal: 6aa0

Square: 745071616

Square Root: 165.21501142450705

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

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=|x-y|+|y-z|. A212570

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise. A235962

T(n,k) = total area of all squares and rectangles of area 2^k-1 after 2ⁿ stages in the toothpick structure of A139250, n>=1, k>=1, assuming the toothpicks have length 2. Triangle read by rows. A211017

Sum of absolute values of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}. A83693

Total number of largest parts in all partitions of n that contain at least two distinct parts. A182629

Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero. A189499

Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, four, six, seven or eight distinct values for every i,j,k<=n. A211596

Number of (n+1)X(3+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise. A235957

Number of (n+1)X(4+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise. A235958

a(n+1) = 3·a(n-2) + 2·a(n-1), a(n)=xⁿ+yⁿ+zⁿ. A72329