The number 29887
29887 is a composite number with 12 divisors. Its prime factorisation is × 13 × 19. Divisors (12): 1, 11, 13, 19, 121, 143, 209, 247, 1573, 2299, 2717, 29887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29887: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29887 is composite. Its prime factorisation is
- 3
The divisors add up to 37240; without 29887 itself that is 7353, so 29887 is deficient (7353 is less than 29887). Euler's totient φ(29887) = 23760 numbers up to 29887 share no factor with it.
- 4
The digits of 29887 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29887 = 11^{2} \times 13 \times 19 \]29887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 37240 |
| Euler totient φ(n) | 23760 |
| Square | 893232769 |
| Cube | 26696047767103 |
| Square root | 172.878570 (= 11√247) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 2.9887 × |
29887 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and eighty-seven |
| Binary (base 2) | 111010010111111 |
| Octal (base 8) | 72277 |
| Hexadecimal (base 16) | 74BF |
| Base 3 | 1111222221 |
| As time | 29887 seconds = 8 h 18 min 7 s |
Is 29887 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29887 ÷ 11 = 2717) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29887 a prime number?
No. 29887 = × 13 × 19, so it is divisible by 11.
What are the factors of 29887?
1, 11, 13, 19, 121, 143, 209, 247, 1573, 2299, 2717, 29887.
What is 29887 in binary?
111010010111111 (hexadecimal 74BF, octal 72277).
What is the square root of 29887?
About 172.8786, exactly 11√247.
Is 29887 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 29887?
29887 is a happy number: repeatedly adding the squares of its digits reaches 1.