The number 29729
29729 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 137. Divisors (8): 1, 7, 31, 137, 217, 959, 4247, 29729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29729: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29729 is composite. Its prime factorisation is
- 3
The divisors add up to 35328; without 29729 itself that is 5599, so 29729 is deficient (5599 is less than 29729). Euler's totient φ(29729) = 24480 numbers up to 29729 share no factor with it.
- 4
The digits of 29729 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 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29729 = 7 \times 31 \times 137 \]
29729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 35328 |
| Euler totient φ(n) | 24480 |
| Square | 883813441 |
| Cube | 26274889787489 |
| Square root | 172.420996 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.9729 × |
29729 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and twenty-nine |
| Binary (base 2) | 111010000100001 |
| Octal (base 8) | 72041 |
| Hexadecimal (base 16) | 7421 |
| Base 3 | 1111210002 |
| As time | 29729 seconds = 8 h 15 min 29 s |
Is 29729 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 | Yes (29729 ÷ 7 = 4247) | 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 7) | 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 29729 a prime number?
No. 29729 = 7 × 31 × 137, so it is divisible by 7.
What are the factors of 29729?
1, 7, 31, 137, 217, 959, 4247, 29729.
What is 29729 in binary?
111010000100001 (hexadecimal 7421, octal 72041).
What is the square root of 29729?
About 172.4210.
Is 29729 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 29729?
29729 is a happy number: repeatedly adding the squares of its digits reaches 1.