The number 29788
29788 is a composite number with 12 divisors. Its prime factorisation is × 11 × 677. Divisors (12): 1, 2, 4, 11, 22, 44, 677, 1354, 2708, 7447, 14894, 29788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29788: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29788 is composite. Its prime factorisation is
- 3
The divisors add up to 56952; without 29788 itself that is 27164, so 29788 is deficient (27164 is less than 29788). Euler's totient φ(29788) = 13520 numbers up to 29788 share no factor with it.
- 4
The digits of 29788 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29788 = 2^{2} \times 11 \times 677 \]29788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56952 |
| Euler totient φ(n) | 13520 |
| Square | 887324944 |
| Cube | 26431635431872 |
| Square root | 172.592004 (= 2√7447) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9788 × |
29788 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and eighty-eight |
| Binary (base 2) | 111010001011100 |
| Octal (base 8) | 72134 |
| Hexadecimal (base 16) | 745C |
| Base 3 | 1111212021 |
| As time | 29788 seconds = 8 h 16 min 28 s |
Is 29788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29788 ÷ 2 = 14894) | 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 | Yes (29788 ÷ 4 = 7447) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29788 ÷ 11 = 2708) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29788 a prime number?
No. 29788 = × 11 × 677, so it is divisible by 2.
What are the factors of 29788?
1, 2, 4, 11, 22, 44, 677, 1354, 2708, 7447, 14894, 29788.
What is 29788 in binary?
111010001011100 (hexadecimal 745C, octal 72134).
What is the square root of 29788?
About 172.5920, exactly 2√7447.
Is 29788 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 29788?
29788 is a happy number: repeatedly adding the squares of its digits reaches 1.