The number 29982
29982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 263. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 263, 526, 789, 1578, 4997, 9994, 14991, 29982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29982 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 29982 itself that is 33378, so 29982 is abundant (33378 is more than 29982). Euler's totient φ(29982) = 9432 numbers up to 29982 share no factor with it.
- 4
The digits of 29982 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29982 = 2 \times 3 \times 19 \times 263 \]
29982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 9432 |
| Square | 898920324 |
| Cube | 26951429154168 |
| Square root | 173.153111 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9982 × |
29982 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and eighty-two |
| Binary (base 2) | 111010100011110 |
| Octal (base 8) | 72436 |
| Hexadecimal (base 16) | 751E |
| Base 3 | 1112010110 |
| As time | 29982 seconds = 8 h 19 min 42 s |
Is 29982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29982 ÷ 2 = 14991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29982 ÷ 3 = 9994) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29982 ÷ 6 = 4997) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29982 a prime number?
No. 29982 = 2 × 3 × 19 × 263, so it is divisible by 2.
What are the factors of 29982?
1, 2, 3, 6, 19, 38, 57, 114, 263, 526, 789, 1578, 4997, 9994, 14991, 29982.
What is 29982 in binary?
111010100011110 (hexadecimal 751E, octal 72436).
What is the square root of 29982?
About 173.1531.
Is 29982 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29982?
It is a composite number with 16 divisors.