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Properties of the Number 27718

Twenty-Seven Thousand Seven Hundred Eighteen

Basics

Value: 27717 → 27718 → 27719

Parity: even

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 13859

Divisors: 1, 2, 13859, 27718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 110110001000110

Octal: 66106

Duodecimal: 1405A

Hexadecimal: 6c46

Square: 768287524

Square Root: 166.48723674804626

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

a(0) = 1; for n > 0, a(n) = 41·n2 + 2. A206399
T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order. A222371
Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A359603
Numbers k such that A003415(k) == A276085(k) (mod 2310), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391864
Maximal coefficient of polynomial p(n), with p(3)=1, p(n) = (1 - t2·n - 4)*(1 - t2·n - 3)*p(n - 1)/((1 - tn - 3)*(1 - tn)). A46919
Numbers k such that k divides the sum of digits in primorial base of all numbers from 1 to k. A333703
Number of nondecreasing arrangements of n numbers in -5..5 with sum zero. A183913
Number of integers in n-th generation of tree T(-5/2) defined in Comments. A274155
Number of strictly increasing arrangements of n numbers in -(n+1)..(n+1) with sum zero. A188175
Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 2 X n array. A219628