The number 72313
72313 is the 7158th prime number. Its only divisors are 1 and 72313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72313: the 7158th prime number.
- 2
72313 is prime, so its only factors are 1 and 72313. It is the 7158th prime; the next prime is 72337 and the one before is 72307.
- 3
The divisors add up to 72314; without 72313 itself that is 1, so 72313 is deficient (1 is less than 72313). Euler's totient φ(72313) = 72312 numbers up to 72313 share no factor with it.
- 4
The digits of 72313 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 94 steps to reach 1.
72313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72314 |
| Euler totient φ(n) | 72312 |
| Square | 5229169969 |
| Cube | 378136967968297 |
| Square root | 268.910766 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2313 × |
72313 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and thirteen |
| Binary (base 2) | 10001101001111001 |
| Octal (base 8) | 215171 |
| Hexadecimal (base 16) | 11A79 |
| Base 3 | 10200012021 |
| As time | 72313 seconds = 20 h 5 min 13 s |
Is 72313 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 3) | 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 1) | 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 10) | 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 72313 a prime number?
Yes. 72313 is divisible only by 1 and itself.
What are the factors of 72313?
1, 72313.
What is 72313 in binary?
10001101001111001 (hexadecimal 11A79, octal 215171).
What is the square root of 72313?
About 268.9108.
Is 72313 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72313?
72313 is the 7158th prime number.