The number 29994
29994 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4999. Divisors (8): 1, 2, 3, 6, 4999, 9998, 14997, 29994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29994: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29994 is composite. Its prime factorisation is
- 3
The divisors add up to 60000; without 29994 itself that is 30006, so 29994 is abundant (30006 is more than 29994). Euler's totient φ(29994) = 9996 numbers up to 29994 share no factor with it.
- 4
The digits of 29994 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 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29994 = 2 \times 3 \times 4999 \]
29994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60000 |
| Euler totient φ(n) | 9996 |
| Square | 899640036 |
| Cube | 26983803239784 |
| Square root | 173.187759 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 178 |
| Scientific notation | 2.9994 × |
29994 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and ninety-four |
| Binary (base 2) | 111010100101010 |
| Octal (base 8) | 72452 |
| Hexadecimal (base 16) | 752A |
| Base 3 | 1112010220 |
| As time | 29994 seconds = 8 h 19 min 54 s |
Is 29994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29994 ÷ 2 = 14997) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29994 ÷ 3 = 9998) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29994 ÷ 6 = 4999) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 29994 a prime number?
No. 29994 = 2 × 3 × 4999, so it is divisible by 2.
What are the factors of 29994?
1, 2, 3, 6, 4999, 9998, 14997, 29994.
What is 29994 in binary?
111010100101010 (hexadecimal 752A, octal 72452).
What is the square root of 29994?
About 173.1878.
Is 29994 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 29994?
29994 is a happy number: repeatedly adding the squares of its digits reaches 1.