The number 6733
6733 is the 868th prime number. Its only divisors are 1 and 6733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6733: the 868th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6733 is prime, so its only factors are 1 and 6733. It is the 868th prime; the next prime is 6737 and the one before is 6719.
- 3
The divisors add up to 6734; without 6733 itself that is 1, so 6733 is deficient (1 is less than 6733). Euler's totient φ(6733) = 6732 numbers up to 6733 share no factor with it.
- 4
The digits of 6733 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 44 steps to reach 1.
6733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6734 |
| Euler totient φ(n) | 6732 |
| Square | 45333289 |
| Cube | 305229034837 |
| Square root | 82.054860 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.733 × |
6733 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirty-three |
| Binary (base 2) | 1101001001101 |
| Octal (base 8) | 15115 |
| Hexadecimal (base 16) | 1A4D |
| Base 3 | 100020101 |
| As time | 6733 seconds = 1 h 52 min 13 s |
Is 6733 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 6733 a prime number?
Yes. 6733 is divisible only by 1 and itself.
What are the factors of 6733?
1, 6733.
What is 6733 in binary?
1101001001101 (hexadecimal 1A4D, octal 15115).
What is the square root of 6733?
About 82.0549.
Is 6733 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6733?
6733 is the 868th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.