Properties of the Number 27274

Twenty-Seven Thousand Two Hundred Seventy-Four

Basics

Value: 27273 → 27274 → 27275

Parity: even

Prime: No

Previous Prime: 27271

Next Prime: 27277

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 1049

Divisors: 1, 2, 13, 26, 1049, 2098, 13637, 27274

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010001010

Octal: 65212

Duodecimal: 1394A

Hexadecimal: 6a8a

Square: 743871076

Square Root: 165.14841809717706

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 subsets A of {0,1,...,n-1} with |A+A| > |A-A|. A222807

Number of 3-edge-connected rooted cubic maps with 2n nodes and a distinguished Hamiltonian cycle. A264

Positions of powerful terms among the numbers satisfying Euler's condition for odd perfect numbers (A228058). A388279

Records in A341755 (= length of chain of (k,k+1) sharing a digit with k+(k+1), starting at n). A341756

For 1<=x<=n, 1<=y<=n with gcd(x,y)=1, write 1 = gcd(x,y) = u·x+v·y with u,v minimal; a(n) = m²*s, where s is the population variance of the values of |v| and m is the number of such values. A345695

a(n) = (3/2)*A019565((2n-1)²) - A019565(A001065((2n-1)²)), where A019565 is the base-2 exp-function, and A001065 is the sum of proper divisors of n. A379501

Expansion of x*(1+2·x²-2·x³+x⁴) / ((x-1)*(x²-2·x-1)*(x²-x+1)*(x+1)²). A109782

Numbers k such that k² + 1 == 0 (mod 41²). A157116

Number of compositions of n such that the greatest part occurs with even multiplicity. A105204

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 0), (1, 0, -1), (1, 0, 1)}. A149152