The number 29985
29985 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 1999. Divisors (8): 1, 3, 5, 15, 1999, 5997, 9995, 29985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29985 is composite. Its prime factorisation is
- 3
The divisors add up to 48000; without 29985 itself that is 18015, so 29985 is deficient (18015 is less than 29985). Euler's totient φ(29985) = 15984 numbers up to 29985 share no factor with it.
- 4
The digits of 29985 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29985 = 3 \times 5 \times 1999 \]
29985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48000 |
| Euler totient φ(n) | 15984 |
| Square | 899100225 |
| Cube | 26959520246625 |
| Square root | 173.161774 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9985 × |
29985 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and eighty-five |
| Binary (base 2) | 111010100100001 |
| Octal (base 8) | 72441 |
| Hexadecimal (base 16) | 7521 |
| Base 3 | 1112010120 |
| As time | 29985 seconds = 8 h 19 min 45 s |
Is 29985 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 | Yes (29985 ÷ 3 = 9995) | 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 | Yes (29985 ÷ 5 = 5997) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29985 a prime number?
No. 29985 = 3 × 5 × 1999, so it is divisible by 3.
What are the factors of 29985?
1, 3, 5, 15, 1999, 5997, 9995, 29985.
What is 29985 in binary?
111010100100001 (hexadecimal 7521, octal 72441).
What is the square root of 29985?
About 173.1618.
Is 29985 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 29985?
It is a composite number with 8 divisors.