The number 3709
3709 is the 518th prime number. Its only divisors are 1 and 3709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3709: the 518th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3709 is prime, so its only factors are 1 and 3709. It is the 518th prime; the next prime is 3719 and the one before is 3701.
- 3
The divisors add up to 3710; without 3709 itself that is 1, so 3709 is deficient (1 is less than 3709). Euler's totient φ(3709) = 3708 numbers up to 3709 share no factor with it.
- 4
The digits of 3709 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 118 steps to reach 1.
3709 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3710 |
| Euler totient φ(n) | 3708 |
| Square | 13756681 |
| Cube | 51023529829 |
| Square root | 60.901560 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.709 × |
3709 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and nine |
| Roman numerals | MMMDCCIX |
| Binary (base 2) | 111001111101 |
| Octal (base 8) | 7175 |
| Hexadecimal (base 16) | E7D |
| Base 3 | 12002101 |
| As time | 3709 seconds = 1 h 1 min 49 s |
Is 3709 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 5) | 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 9) | 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 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3709 a prime number?
Yes. 3709 is divisible only by 1 and itself.
What are the factors of 3709?
1, 3709.
What is 3709 in binary?
111001111101 (hexadecimal E7D, octal 7175).
What is the square root of 3709?
About 60.9016.
What is 3709 in Roman numerals?
MMMDCCIX.
Is 3709 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3709?
3709 is the 518th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.