The number 29929
29929 is a perfect square (173²). Its prime factorisation is . Divisors (3): 1, 173, 29929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29929: a perfect square (173²); the square of a prime (173²).
- 2
29929 is composite. Its prime factorisation is
- 3
The divisors add up to 30103; without 29929 itself that is 174, so 29929 is deficient (174 is less than 29929). Euler's totient φ(29929) = 29756 numbers up to 29929 share no factor with it.
- 4
The digits of 29929 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29929 = 173^{2} \]29929 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 30103 |
| Euler totient φ(n) | 29756 |
| Square | 895745041 |
| Cube | 26808753332089 |
| Square root | 173 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9929 × |
| Perfect power |
29929 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and twenty-nine |
| Binary (base 2) | 111010011101001 |
| Octal (base 8) | 72351 |
| Hexadecimal (base 16) | 74E9 |
| Base 3 | 1112001111 |
| As time | 29929 seconds = 8 h 18 min 49 s |
Is 29929 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 9) | 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 29929 a prime number?
No. 29929 = , so it is divisible by 173.
What are the factors of 29929?
1, 173, 29929.
What is 29929 in binary?
111010011101001 (hexadecimal 74E9, octal 72351).
What is the square root of 29929?
173, because 173 × 173 = 29929.
Is 29929 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 29929?
29929 is a perfect square (173²); the square of a prime (173²).