Properties of the Number 27793

Twenty-Seven Thousand Seven Hundred Ninety-Three

Basics

Value: 27792 → 27793 → 27794

Parity: odd

Prime: Yes

Previous Prime: 27791

Next Prime: 27799

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 27793

Divisors: 1, 27793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110010010001

Octal: 66221

Duodecimal: 14101

Hexadecimal: 6c91

Square: 772450849

Square Root: 166.71232707871366

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 integer partitions of n whose Heinz number (product of primes of parts) is divisible by their sum of primes of parts. A330953

Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646]. A78856

Expansion of 1/(1 - x*∏_k>=1 (1 + x^k)^k). A299167

a(1)=1; for n >1 a(n) is the smallest prime divisor of the number obtained from concatenation of 1 and the first n-1 composites. A241845

Primes which are the sum of three distinct positive cubes in two or more distinct ways. A180088

Primes in A301916 but not in A045318. A320481

Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2. A126239

Primes whose digit reversal is a pentagonal number (A000326). A115706

a(n) = (2^p+1)^p-1 modulo p², where p is prime(n). A260531

Lesser prime in pair prime(k) +/- k for some k. A107636