## 37199

37,199 (thirty-seven thousand one hundred ninety-nine) is an odd five-digits prime number following 37198 and preceding 37200. In scientific notation, it is written as 3.7199 × 104. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 37,198 positive integers (up to 37199) that are relatively prime to 37199.

## Basic properties

• Is Prime? Yes
• Number parity Odd
• Number length 5
• Sum of Digits 29
• Digital Root 2

## Name

Short name 37 thousand 199 thirty-seven thousand one hundred ninety-nine

## Notation

Scientific notation 3.7199 × 104 37.199 × 103

## Prime Factorization of 37199

Prime Factorization 37199

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) 37199 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) 10.524 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 37,199 is 37199. Since it has a total of 1 prime factor, 37,199 is a prime number.

## Divisors of 37199

2 divisors

 Even divisors 0 2 1 1
Total Divisors Sum of Divisors Aliquot Sum τ(n) 2 Total number of the positive divisors of n σ(n) 37200 Sum of all the positive divisors of n s(n) 1 Sum of the proper positive divisors of n A(n) 18600 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 192.87 Returns the nth root of the product of n divisors H(n) 1.99995 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 37,199 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 37,199) is 37,200, the average is 18,600.

## Other Arithmetic Functions (n = 37199)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 37198 Total number of positive integers not greater than n that are coprime to n λ(n) 37198 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 3937 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 37,198 positive integers (less than 37,199) that are coprime with 37,199. And there are approximately 3,937 prime numbers less than or equal to 37,199.

## Divisibility of 37199

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

37,199 is not divisible by any number less than or equal to 9.

## Classification of 37199

• Arithmetic
• Prime
• Deficient

### Expressible via specific sums

• Polite
• Non-hypotenuse

• Prime Power
• Square Free

## Base conversion (37199)

Base System Value
2 Binary 1001000101001111
3 Ternary 1220000202
4 Quaternary 21011033
5 Quinary 2142244
6 Senary 444115
8 Octal 110517
10 Decimal 37199
12 Duodecimal 1963b
20 Vigesimal 4cjj
36 Base36 spb

## Basic calculations (n = 37199)

### Multiplication

n×i
 n×2 74398 111597 148796 185995

### Division

ni
 n⁄2 18599.5 12399.7 9299.75 7439.8

### Exponentiation

ni
 n2 1383765601 51474696591599 1914807238510891201 71228914465366641785999

### Nth Root

i√n
 2√n 192.87 33.3819 13.8878 8.20552

## 37199 as geometric shapes

### Circle

 Diameter 74398 233728 4.34723e+09

### Sphere

 Volume 2.15617e+14 1.73889e+10 233728

### Square

Length = n
 Perimeter 148796 1.38377e+09 52607.3

### Cube

Length = n
 Surface area 8.30259e+09 5.14747e+13 64430.6

### Equilateral Triangle

Length = n
 Perimeter 111597 5.99188e+08 32215.3

### Triangular Pyramid

Length = n
 Surface area 2.39675e+09 6.06635e+12 30372.9
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