The number 3727
3727 is the 520th prime number. Its only divisors are 1 and 3727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3727: the 520th prime number.
- 2
3727 is prime, so its only factors are 1 and 3727. It is the 520th prime; the next prime is 3733 and the one before is 3719.
- 3
The divisors add up to 3728; without 3727 itself that is 1, so 3727 is deficient (1 is less than 3727). Euler's totient φ(3727) = 3726 numbers up to 3727 share no factor with it.
- 4
The digits of 3727 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
3727 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3728 |
| Euler totient φ(n) | 3726 |
| Square | 13890529 |
| Cube | 51770001583 |
| Square root | 61.049161 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.727 × |
3727 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and twenty-seven |
| Roman numerals | MMMDCCXXVII |
| Binary (base 2) | 111010001111 |
| Octal (base 8) | 7217 |
| Hexadecimal (base 16) | E8F |
| Base 3 | 12010001 |
| As time | 3727 seconds = 1 h 2 min 7 s |
Is 3727 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 | No (remainder 1) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3727 a prime number?
Yes. 3727 is divisible only by 1 and itself.
What are the factors of 3727?
1, 3727.
What is 3727 in binary?
111010001111 (hexadecimal E8F, octal 7217).
What is the square root of 3727?
About 61.0492.
What is 3727 in Roman numerals?
MMMDCCXXVII.
Is 3727 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3727?
3727 is the 520th prime number.