The number 733
733 is the 130th prime number. Its only divisors are 1 and 733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 733: the 130th prime number.
- 2
733 is prime, so its only factors are 1 and 733. It is the 130th prime; the next prime is 739 and the one before is 727.
- 3
The divisors add up to 734; without 733 itself that is 1, so 733 is deficient (1 is less than 733). Euler's totient φ(733) = 732 numbers up to 733 share no factor with it.
- 4
The digits of 733 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 734 |
| Euler totient φ(n) | 732 |
| Square | 537289 |
| Cube | 393832837 |
| Square root | 27.073973 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 95 |
| Scientific notation | 7.33 × |
733 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and thirty-three |
| Roman numerals | DCCXXXIII |
| Binary (base 2) | 1011011101 |
| Octal (base 8) | 1335 |
| Hexadecimal (base 16) | 2DD |
| Base 3 | 1000011 |
| As time | 733 seconds = 12 min 13 s |
Is 733 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 5) | 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 4) | 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 7) | 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 733 a prime number?
Yes. 733 is divisible only by 1 and itself.
What are the factors of 733?
1, 733.
What is 733 in binary?
1011011101 (hexadecimal 2DD, octal 1335).
What is the square root of 733?
About 27.0740.
What is 733 in Roman numerals?
DCCXXXIII.
Is 733 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 733?
733 is the 130th prime number.