The number 74729
74729 is a twin prime (74729 and 74731 are both prime) and the 7369th prime number. Its only divisors are 1 and 74729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74729: a twin prime (74729 and 74731 are both prime); the 7369th prime number.
- 2
74729 is prime, so its only factors are 1 and 74729. It is the 7369th prime; the next prime is 74731 and the one before is 74719.
- 3
The divisors add up to 74730; without 74729 itself that is 1, so 74729 is deficient (1 is less than 74729). Euler's totient φ(74729) = 74728 numbers up to 74729 share no factor with it.
- 4
The digits of 74729 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
74729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74730 |
| Euler totient φ(n) | 74728 |
| Square | 5584423441 |
| Cube | 417318379322489 |
| Square root | 273.366055 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4729 × |
74729 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and twenty-nine |
| Binary (base 2) | 10010001111101001 |
| Octal (base 8) | 221751 |
| Hexadecimal (base 16) | 123E9 |
| Base 3 | 10210111202 |
| As time | 74729 seconds = 20 h 45 min 29 s |
Is 74729 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 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 74729 a prime number?
Yes. 74729 is divisible only by 1 and itself.
What are the factors of 74729?
1, 74729.
What is 74729 in binary?
10010001111101001 (hexadecimal 123E9, octal 221751).
What is the square root of 74729?
About 273.3661.
Is 74729 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 74729?
74729 is a twin prime (74729 and 74731 are both prime); the 7369th prime number.