The number 73133
73133 is the 7231st prime number. Its only divisors are 1 and 73133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73133: the 7231st prime number.
- 2
73133 is prime, so its only factors are 1 and 73133. It is the 7231st prime; the next prime is 73141 and the one before is 73127.
- 3
The divisors add up to 73134; without 73133 itself that is 1, so 73133 is deficient (1 is less than 73133). Euler's totient φ(73133) = 73132 numbers up to 73133 share no factor with it.
- 4
The digits of 73133 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
73133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73134 |
| Euler totient φ(n) | 73132 |
| Square | 5348435689 |
| Cube | 391147147243637 |
| Square root | 270.431137 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3133 × |
73133 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and thirty-three |
| Binary (base 2) | 10001110110101101 |
| Octal (base 8) | 216655 |
| Hexadecimal (base 16) | 11DAD |
| Base 3 | 10201022122 |
| As time | 73133 seconds = 20 h 18 min 53 s |
Is 73133 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73133 a prime number?
Yes. 73133 is divisible only by 1 and itself.
What are the factors of 73133?
1, 73133.
What is 73133 in binary?
10001110110101101 (hexadecimal 11DAD, octal 216655).
What is the square root of 73133?
About 270.4311.
Is 73133 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73133?
73133 is the 7231st prime number.