The number 3739
3739 is the 522nd prime number. Its only divisors are 1 and 3739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3739: the 522nd prime number.
- 2
3739 is prime, so its only factors are 1 and 3739. It is the 522nd prime; the next prime is 3761 and the one before is 3733.
- 3
The divisors add up to 3740; without 3739 itself that is 1, so 3739 is deficient (1 is less than 3739). Euler's totient φ(3739) = 3738 numbers up to 3739 share no factor with it.
- 4
The digits of 3739 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
3739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3740 |
| Euler totient φ(n) | 3738 |
| Square | 13980121 |
| Cube | 52271672419 |
| Square root | 61.147363 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 113 |
| Scientific notation | 3.739 × |
3739 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and thirty-nine |
| Roman numerals | MMMDCCXXXIX |
| Binary (base 2) | 111010011011 |
| Octal (base 8) | 7233 |
| Hexadecimal (base 16) | E9B |
| Base 3 | 12010111 |
| As time | 3739 seconds = 1 h 2 min 19 s |
Is 3739 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 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 1) | 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 | No (remainder 4) | 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 10) | 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 3739 a prime number?
Yes. 3739 is divisible only by 1 and itself.
What are the factors of 3739?
1, 3739.
What is 3739 in binary?
111010011011 (hexadecimal E9B, octal 7233).
What is the square root of 3739?
About 61.1474.
What is 3739 in Roman numerals?
MMMDCCXXXIX.
Is 3739 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3739?
3739 is the 522nd prime number.