The number 5700
5700 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 19. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57 … 5700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5700: a Harshad number: divisible by its digit sum 12.
- 2
5700 is composite. Its prime factorisation is
- 3
The divisors add up to 17360; without 5700 itself that is 11660, so 5700 is abundant (11660 is more than 5700). Euler's totient φ(5700) = 1440 numbers up to 5700 share no factor with it.
- 4
The digits of 5700 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5700 = 2^{2} \times 3 \times 5^{2} \times 19 \]5700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 17360 |
| Euler totient φ(n) | 1440 |
| Square | 32490000 |
| Cube | 185193000000 |
| Square root | 75.498344 (= 10√57) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.7 × |
5700 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred |
| Binary (base 2) | 1011001000100 |
| Octal (base 8) | 13104 |
| Hexadecimal (base 16) | 1644 |
| Base 3 | 21211010 |
| As time | 5700 seconds = 1 h 35 min 0 s |
Is 5700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5700 ÷ 2 = 2850) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5700 ÷ 3 = 1900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5700 ÷ 4 = 1425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5700 ÷ 5 = 1140) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5700 ÷ 6 = 950) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5700 ÷ 10 = 570) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5700 ÷ 12 = 475) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5700 a prime number?
No. 5700 = × 3 × × 19, so it is divisible by 2.
What are the factors of 5700?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700.
What is 5700 in binary?
1011001000100 (hexadecimal 1644, octal 13104).
What is the square root of 5700?
About 75.4983, exactly 10√57.
Is 5700 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5700?
5700 is a Harshad number: divisible by its digit sum 12.