## 20173

20,173 (twenty thousand one hundred seventy-three) is an odd five-digits prime number following 20172 and preceding 20174. In scientific notation, it is written as 2.0173 × 104. The sum of its digits is 13. It has a total of 1 prime factor and 2 positive divisors. There are 20,172 positive integers (up to 20173) that are relatively prime to 20173.

## Basic properties

• Is Prime? Yes
• Number parity Odd
• Number length 5
• Sum of Digits 13
• Digital Root 4

## Name

Short name 20 thousand 173 twenty thousand one hundred seventy-three

## Notation

Scientific notation 2.0173 × 104 20.173 × 103

## Prime Factorization of 20173

Prime Factorization 20173

Prime number
Distinct Factors Total Factors Radical ω(n) 1 Total number of distinct prime factors Ω(n) 1 Total number of prime factors rad(n) 20173 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 9.9121 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 20,173 is 20173. Since it has a total of 1 prime factor, 20,173 is a prime number.

## Divisors of 20173

2 divisors

 Even divisors 0 2 2 0
Total Divisors Sum of Divisors Aliquot Sum τ(n) 2 Total number of the positive divisors of n σ(n) 20174 Sum of all the positive divisors of n s(n) 1 Sum of the proper positive divisors of n A(n) 10087 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 142.032 Returns the nth root of the product of n divisors H(n) 1.9999 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 20,173 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 20,173) is 20,174, the average is 10,087.

## Other Arithmetic Functions (n = 20173)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 20172 Total number of positive integers not greater than n that are coprime to n λ(n) 20172 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 2283 Total number of primes less than or equal to n r2(n) 8 The number of ways n can be represented as the sum of 2 squares

There are 20,172 positive integers (less than 20,173) that are coprime with 20,173. And there are approximately 2,283 prime numbers less than or equal to 20,173.

## Divisibility of 20173

 m n mod m 2 3 4 5 6 7 8 9 1 1 1 3 1 6 5 4

20,173 is not divisible by any number less than or equal to 9.

• Arithmetic
• Prime
• Deficient

• Polite

• Prime Power
• Square Free

## Base conversion (20173)

Base System Value
2 Binary 100111011001101
3 Ternary 1000200011
4 Quaternary 10323031
5 Quinary 1121143
6 Senary 233221
8 Octal 47315
10 Decimal 20173
12 Duodecimal b811
20 Vigesimal 2a8d
36 Base36 fkd

## Basic calculations (n = 20173)

### Multiplication

n×i
 n×2 40346 60519 80692 100865

### Division

ni
 n⁄2 10086.5 6724.33 5043.25 4034.6

### Exponentiation

ni
 n2 406949929 8209400917717 165608244713105041 3340815120597467992093

### Nth Root

i√n
 2√n 142.032 27.2222 11.9177 7.26029

## 20173 as geometric shapes

### Circle

 Diameter 40346 126751 1.27847e+09

### Sphere

 Volume 3.43875e+13 5.11388e+09 126751

### Square

Length = n
 Perimeter 80692 4.0695e+08 28528.9

### Cube

Length = n
 Surface area 2.4417e+09 8.2094e+12 34940.7

### Equilateral Triangle

Length = n
 Perimeter 60519 1.76214e+08 17470.3

### Triangular Pyramid

Length = n
 Surface area 7.04858e+08 9.67487e+11 16471.2
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