The number 3733
3733 is the 521st prime number. Its only divisors are 1 and 3733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3733: the 521st prime number.
- 2
3733 is prime, so its only factors are 1 and 3733. It is the 521st prime; the next prime is 3739 and the one before is 3727.
- 3
The divisors add up to 3734; without 3733 itself that is 1, so 3733 is deficient (1 is less than 3733). Euler's totient φ(3733) = 3732 numbers up to 3733 share no factor with it.
- 4
The digits of 3733 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
3733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3734 |
| Euler totient φ(n) | 3732 |
| Square | 13935289 |
| Cube | 52020433837 |
| Square root | 61.098281 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.733 × |
3733 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and thirty-three |
| Roman numerals | MMMDCCXXXIII |
| Binary (base 2) | 111010010101 |
| Octal (base 8) | 7225 |
| Hexadecimal (base 16) | E95 |
| Base 3 | 12010021 |
| As time | 3733 seconds = 1 h 2 min 13 s |
Is 3733 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 3733 a prime number?
Yes. 3733 is divisible only by 1 and itself.
What are the factors of 3733?
1, 3733.
What is 3733 in binary?
111010010101 (hexadecimal E95, octal 7225).
What is the square root of 3733?
About 61.0983.
What is 3733 in Roman numerals?
MMMDCCXXXIII.
Is 3733 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3733?
3733 is the 521st prime number.