The number 29986
29986 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 29 × 47. Divisors (16): 1, 2, 11, 22, 29, 47, 58, 94, 319, 517, 638, 1034, 1363, 2726, 14993, 29986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29986 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 29986 itself that is 21854, so 29986 is deficient (21854 is less than 29986). Euler's totient φ(29986) = 12880 numbers up to 29986 share no factor with it.
- 4
The digits of 29986 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29986 = 2 \times 11 \times 29 \times 47 \]
29986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 12880 |
| Square | 899160196 |
| Cube | 26962217637256 |
| Square root | 173.164662 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.9986 × |
29986 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and eighty-six |
| Binary (base 2) | 111010100100010 |
| Octal (base 8) | 72442 |
| Hexadecimal (base 16) | 7522 |
| Base 3 | 1112010121 |
| As time | 29986 seconds = 8 h 19 min 46 s |
Is 29986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29986 ÷ 2 = 14993) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29986 ÷ 11 = 2726) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29986 a prime number?
No. 29986 = 2 × 11 × 29 × 47, so it is divisible by 2.
What are the factors of 29986?
1, 2, 11, 22, 29, 47, 58, 94, 319, 517, 638, 1034, 1363, 2726, 14993, 29986.
What is 29986 in binary?
111010100100010 (hexadecimal 7522, octal 72442).
What is the square root of 29986?
About 173.1647.
Is 29986 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 29986?
It is a composite number with 16 divisors.