The number 5715
5715 is a composite number with 12 divisors. Its prime factorisation is × 5 × 127. Divisors (12): 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5715: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5715 is composite. Its prime factorisation is
- 3
The divisors add up to 9984; without 5715 itself that is 4269, so 5715 is deficient (4269 is less than 5715). Euler's totient φ(5715) = 3024 numbers up to 5715 share no factor with it.
- 4
The digits of 5715 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5715 = 3^{2} \times 5 \times 127 \]5715 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9984 |
| Euler totient φ(n) | 3024 |
| Square | 32661225 |
| Cube | 186658900875 |
| Square root | 75.597619 (= 3√635) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.715 × |
5715 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and fifteen |
| Binary (base 2) | 1011001010011 |
| Octal (base 8) | 13123 |
| Hexadecimal (base 16) | 1653 |
| Base 3 | 21211200 |
| As time | 5715 seconds = 1 h 35 min 15 s |
Is 5715 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5715 ÷ 3 = 1905) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5715 ÷ 5 = 1143) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5715 ÷ 9 = 635) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5715 a prime number?
No. 5715 = × 5 × 127, so it is divisible by 3.
What are the factors of 5715?
1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715.
What is 5715 in binary?
1011001010011 (hexadecimal 1653, octal 13123).
What is the square root of 5715?
About 75.5976, exactly 3√635.
Is 5715 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5715?
5715 is a happy number: repeatedly adding the squares of its digits reaches 1.