Properties of the Number 27713

Twenty-Seven Thousand Seven Hundred Thirteen

Basics

Value: 27712 → 27713 → 27714

Parity: odd

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 37 × 107

Divisors: 1, 7, 37, 107, 259, 749, 3959, 27713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001000001

Octal: 66101

Duodecimal: 14055

Hexadecimal: 6c41

Square: 768010369

Square Root: 166.47221990470362

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 n X n (0,1)-matrices with zero permanent. A88672

Triangle T(n,k) read by rows, where T(n,k) = number of times the permanent of a real n X n (0,1)-matrix takes the value k, for n >= 0, 0 <= k <= n!. A89479

G.f. satisfies A³ = BINOMIAL(A)², where A = A090351². A90352

A Wallis pair (x,y) satisfies σ(x²) = σ(y²); sequence gives y's for indecomposable Wallis pairs with x < y (ordered by values of x). A75769

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+103)² = y². A157119

Index where prime(n) appears as a term in A379442. A379558

Triangle T(n,k) read by rows, where T(n,k) = number of times the permanent of a real singular n X n (0,1)-matrix takes the value k, for n >= 2, 0 <= k <= n!. A89481

Positive integers whose square is the sum of 74 consecutive squares. A257825

Triangle read by rows: T(n,k) = number of ways, summed over the free n-ominoes, that an n-omino with an assigned orientation can be maximally (partially) covered by k X 1 tiles. A308437

Numbers k such that (13·10^k - 43)/3 is prime. A290962