Properties of the Number 27193

Twenty-Seven Thousand One Hundred Ninety-Three

Basics

Value: 27192 → 27193 → 27194

Parity: odd

Prime: No

Previous Prime: 27191

Next Prime: 27197

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 71 × 383

Divisors: 1, 71, 383, 27193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101000111001

Octal: 65071

Duodecimal: 138A1

Hexadecimal: 6a39

Square: 739459249

Square Root: 164.90300179196254

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

Numbers k such that σ(φ(k)) - φ(σ(k)) is nonzero and divisible by σ(k), that is A065395(k)/A000203(k) is a nonzero integer. A92588

G.f. A(x) satisfies: A(x) = x * (1 + A(x))⁴ / (1 - 4·A(x)). A366016

G.f.: (1+x)/∏_m>0 (1 - x^m). A84376

Greatest multiple of the n-th prime in A098962. A99620

Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments). A274470

Numbers with d digits (d>0) which have at least 2d distinct primes as substrings. A168167

Pisot sequence E(5,21), a(n) = floor( a(n-1)²/a(n-2) + 1/2 ). A10917

a(n) = (1/(n+1)) * ∑_k=0..n binomial(n+k,k) * binomial(n*(n+1),n-k) * n^k. A366038

Number of partitions of n into an odd number of parts. A27193

Number of partitions of n modulo 7. A68909