The number 60733
60733 is the 6122nd prime number. Its only divisors are 1 and 60733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60733: the 6122nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60733 is prime, so its only factors are 1 and 60733. It is the 6122nd prime; the next prime is 60737 and the one before is 60727.
- 3
The divisors add up to 60734; without 60733 itself that is 1, so 60733 is deficient (1 is less than 60733). Euler's totient φ(60733) = 60732 numbers up to 60733 share no factor with it.
- 4
The digits of 60733 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 179 steps to reach 1.
60733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60734 |
| Euler totient φ(n) | 60732 |
| Square | 3688497289 |
| Cube | 224013505852837 |
| Square root | 246.440662 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.0733 × |
60733 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and thirty-three |
| Binary (base 2) | 1110110100111101 |
| Octal (base 8) | 166475 |
| Hexadecimal (base 16) | ED3D |
| Base 3 | 10002022101 |
| As time | 60733 seconds = 16 h 52 min 13 s |
Is 60733 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 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 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 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 60733 a prime number?
Yes. 60733 is divisible only by 1 and itself.
What are the factors of 60733?
1, 60733.
What is 60733 in binary?
1110110100111101 (hexadecimal ED3D, octal 166475).
What is the square root of 60733?
About 246.4407.
Is 60733 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60733?
60733 is the 6122nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.