The number 74731
74731 is a twin prime (74729 and 74731 are both prime) and the 7370th prime number. Its only divisors are 1 and 74731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74731: a twin prime (74729 and 74731 are both prime); the 7370th prime number.
- 2
74731 is prime, so its only factors are 1 and 74731. It is the 7370th prime; the next prime is 74747 and the one before is 74729.
- 3
The divisors add up to 74732; without 74731 itself that is 1, so 74731 is deficient (1 is less than 74731). Euler's totient φ(74731) = 74730 numbers up to 74731 share no factor with it.
- 4
The digits of 74731 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 231 steps to reach 1.
74731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74732 |
| Euler totient φ(n) | 74730 |
| Square | 5584722361 |
| Cube | 417351886759891 |
| Square root | 273.369713 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.4731 × |
74731 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and thirty-one |
| Binary (base 2) | 10010001111101011 |
| Octal (base 8) | 221753 |
| Hexadecimal (base 16) | 123EB |
| Base 3 | 10210111211 |
| As time | 74731 seconds = 20 h 45 min 31 s |
Is 74731 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74731 a prime number?
Yes. 74731 is divisible only by 1 and itself.
What are the factors of 74731?
1, 74731.
What is 74731 in binary?
10010001111101011 (hexadecimal 123EB, octal 221753).
What is the square root of 74731?
About 273.3697.
Is 74731 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 74731?
74731 is a twin prime (74729 and 74731 are both prime); the 7370th prime number.