# 4257 (number)

4,257 (four thousand two hundred fifty-seven) is an odd four-digits composite number following 4256 and preceding 4258. In scientific notation, it is written as 4.257 × 103. The sum of its digits is 18. It has a total of 4 prime factors and 12 positive divisors. There are 2,520 positive integers (up to 4257) that are relatively prime to 4257.

## Basic properties

• Is Prime? No
• Number parity Odd
• Number length 4
• Sum of Digits 18
• Digital Root 9

## Name

Short name 4 thousand 257 four thousand two hundred fifty-seven

## Notation

Scientific notation 4.257 × 103 4.257 × 103

## Prime Factorization of 4257

Prime Factorization 32 × 11 × 43

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 4 Total number of prime factors rad(n) 1419 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 4,257 is 32 × 11 × 43. Since it has a total of 4 prime factors, 4,257 is a composite number.

## Divisors of 4257

1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257

12 divisors

 Even divisors 0 12 6 6
Total Divisors Sum of Divisors Aliquot Sum τ(n) 12 Total number of the positive divisors of n σ(n) 6864 Sum of all the positive divisors of n s(n) 2607 Sum of the proper positive divisors of n A(n) 572 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 65.2457 Returns the nth root of the product of n divisors H(n) 7.44231 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 4,257 can be divided by 12 positive divisors (out of which 0 are even, and 12 are odd). The sum of these divisors (counting 4,257) is 6,864, the average is 572.

## Other Arithmetic Functions (n = 4257)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 2520 Total number of positive integers not greater than n that are coprime to n λ(n) 210 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 585 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 2,520 positive integers (less than 4,257) that are coprime with 4,257. And there are approximately 585 prime numbers less than or equal to 4,257.

## Divisibility of 4257

 m n mod m 2 3 4 5 6 7 8 9 1 0 1 2 3 1 1 0

The number 4,257 is divisible by 3 and 9.

## Classification of 4257

• Arithmetic
• Deficient

### Expressible via specific sums

• Polite
• Non-hypotenuse

• Decagonal

## Base conversion (4257)

Base System Value
2 Binary 1000010100001
3 Ternary 12211200
4 Quaternary 1002201
5 Quinary 114012
6 Senary 31413
8 Octal 10241
10 Decimal 4257
12 Duodecimal 2569
20 Vigesimal ach
36 Base36 3a9

## Basic calculations (n = 4257)

### Multiplication

n×y
 n×2 8514 12771 17028 21285

### Division

n÷y
 n÷2 2128.5 1419 1064.25 851.4

### Exponentiation

ny
 n2 18122049 77145562593 328408659958401 1398035665442913057

### Nth Root

y√n
 2√n 65.2457 16.2069 8.07748 5.31889

## 4257 as geometric shapes

### Circle

 Diameter 8514 26747.5 5.69321e+07

### Sphere

 Volume 3.23147e+11 2.27728e+08 26747.5

### Square

Length = n
 Perimeter 17028 1.8122e+07 6020.31

### Cube

Length = n
 Surface area 1.08732e+08 7.71456e+10 7373.34

### Equilateral Triangle

Length = n
 Perimeter 12771 7.84708e+06 3686.67

### Triangular Pyramid

Length = n
 Surface area 3.13883e+07 9.09169e+09 3475.83
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