# 5250 (number)

5,250 (five thousand two hundred fifty) is an even four-digits composite number following 5249 and preceding 5251. In scientific notation, it is written as 5.25 × 103. The sum of its digits is 12. It has a total of 6 prime factors and 32 positive divisors. There are 1,200 positive integers (up to 5250) that are relatively prime to 5250.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 4
• Sum of Digits 12
• Digital Root 3

## Name

Short name 5 thousand 250 five thousand two hundred fifty

## Notation

Scientific notation 5.25 × 103 5.25 × 103

## Prime Factorization of 5250

Prime Factorization 2 × 3 × 53 × 7

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 210 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 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) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 5,250 is 2 × 3 × 53 × 7. Since it has a total of 6 prime factors, 5,250 is a composite number.

## Divisors of 5250

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250

32 divisors

 Even divisors 16 16 8 8
Total Divisors Sum of Divisors Aliquot Sum τ(n) 32 Total number of the positive divisors of n σ(n) 14976 Sum of all the positive divisors of n s(n) 9726 Sum of the proper positive divisors of n A(n) 468 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 72.4569 Returns the nth root of the product of n divisors H(n) 11.2179 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 5,250 can be divided by 32 positive divisors (out of which 16 are even, and 16 are odd). The sum of these divisors (counting 5,250) is 14,976, the average is 468.

## Other Arithmetic Functions (n = 5250)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 1200 Total number of positive integers not greater than n that are coprime to n λ(n) 300 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 702 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 1,200 positive integers (less than 5,250) that are coprime with 5,250. And there are approximately 702 prime numbers less than or equal to 5,250.

## Divisibility of 5250

 m n mod m 2 3 4 5 6 7 8 9 0 0 2 0 0 0 2 3

The number 5,250 is divisible by 2, 3, 5, 6 and 7.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (5250)

Base System Value
2 Binary 1010010000010
3 Ternary 21012110
4 Quaternary 1102002
5 Quinary 132000
6 Senary 40150
8 Octal 12202
10 Decimal 5250
12 Duodecimal 3056
20 Vigesimal d2a
36 Base36 41u

## Basic calculations (n = 5250)

### Multiplication

n×y
 n×2 10500 15750 21000 26250

### Division

n÷y
 n÷2 2625 1750 1312.5 1050

### Exponentiation

ny
 n2 27562500 144703125000 759691406250000 3988379882812500000

### Nth Root

y√n
 2√n 72.4569 17.3801 8.51216 5.54666

## 5250 as geometric shapes

### Circle

 Diameter 10500 32986.7 8.65901e+07

### Sphere

 Volume 6.06131e+11 3.46361e+08 32986.7

### Square

Length = n
 Perimeter 21000 2.75625e+07 7424.62

### Cube

Length = n
 Surface area 1.65375e+08 1.44703e+11 9093.27

### Equilateral Triangle

Length = n
 Perimeter 15750 1.19349e+07 4546.63

### Triangular Pyramid

Length = n
 Surface area 4.77397e+07 1.70534e+10 4286.61

## Cryptographic Hash Functions

md5 48653af2e798bc96b6ef0b76d8a02139 f7ebe64806b3340e6f5958d5135e367114533de1 2841dad7e57a80b5a9fdc7cd5799e7108f394e1c6157a8feb8e83db0808d3432 d147af8179ea025775d77d5c51d8241e28d6305dcdf981c0274a7b0b4aabbe78e9d7fca031c3e24012be3d679655ef02cdc12239859b6974baa1dac6e24e73f5 d82090f8d8eaab5044a78be44a46ca778f4218a3
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