Properties of the Number 27100

Twenty-Seven Thousand One Hundred

Basics

Value: 27099 → 27100 → 27101

Parity: even

Prime: No

Previous Prime: 27091

Next Prime: 27103

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 ² × 271

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111011100

Octal: 64734

Duodecimal: 13824

Hexadecimal: 69dc

Square: 734410000

Square Root: 164.62077633154328

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

5-white numbers: partition digits of n⁵ into blocks of 5 starting at right; sum of these 5-digit numbers equals n. A37045

Table of coefficients in the iterations of Euler's tree function (A000169), as read by antidiagonals. A274390

Kaprekar triples: q such that q = x + y + z and q³ = x·10²ⁿ + y·10ⁿ + z, where z < 10ⁿ and n is the number of digits in q. q is not a power of 10 (except q=1). A6887

Pseudo-Kaprekar triples: q such that if q=x+y+z, then q³=x·10ⁱ + y·10^j + z, where (y·10^j+z < 10ⁱ) and z < 10^j. A60768

a(n) is the unique k such that A382357(k) = 2ⁿ. A382360

"Kaprekar quintuples": digits of X⁵ taken D at a time sum to X (where D is number of digits in X.) A171500

The Wiener index of the double-comb graph \/_\/_\/...\/_\/ with 3n (n>=1) nodes. The Wiener index of a connected graph is the sum of the distances between all unordered pairs of vertices in the graph. A192025

Numbers n such that 173·2ⁿ-1 is prime. A50838

Erroneous version of A006887. A60809

Order 3 perimeter magic squares of magic sum n, all elements distinct and 1 in the set; bracelet symmetry. A382455