The number 4729
4729 is the 638th prime number. Its only divisors are 1 and 4729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4729: the 638th prime number.
- 2
4729 is prime, so its only factors are 1 and 4729. It is the 638th prime; the next prime is 4733 and the one before is 4723.
- 3
The divisors add up to 4730; without 4729 itself that is 1, so 4729 is deficient (1 is less than 4729). Euler's totient φ(4729) = 4728 numbers up to 4729 share no factor with it.
- 4
The digits of 4729 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 59 steps to reach 1.
4729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4730 |
| Euler totient φ(n) | 4728 |
| Square | 22363441 |
| Cube | 105756712489 |
| Square root | 68.767725 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.729 × |
4729 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and twenty-nine |
| Binary (base 2) | 1001001111001 |
| Octal (base 8) | 11171 |
| Hexadecimal (base 16) | 1279 |
| Base 3 | 20111011 |
| As time | 4729 seconds = 1 h 18 min 49 s |
Is 4729 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 4) | 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 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 4) | 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 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 4729 a prime number?
Yes. 4729 is divisible only by 1 and itself.
What are the factors of 4729?
1, 4729.
What is 4729 in binary?
1001001111001 (hexadecimal 1279, octal 11171).
What is the square root of 4729?
About 68.7677.
Is 4729 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 4729?
4729 is the 638th prime number.