The number 29997
29997 is a composite number with 16 divisors. Its prime factorisation is × 11 × 101. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 101, 297, 303, 909, 1111, 2727, 3333, 9999, 29997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29997 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 29997 itself that is 18963, so 29997 is deficient (18963 is less than 29997). Euler's totient φ(29997) = 18000 numbers up to 29997 share no factor with it.
- 4
The digits of 29997 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29997 = 3^{3} \times 11 \times 101 \]29997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 18000 |
| Square | 899820009 |
| Cube | 26991900809973 |
| Square root | 173.196420 (= 3√3333) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9997 × |
29997 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and ninety-seven |
| Binary (base 2) | 111010100101101 |
| Octal (base 8) | 72455 |
| Hexadecimal (base 16) | 752D |
| Base 3 | 1112011000 |
| As time | 29997 seconds = 8 h 19 min 57 s |
Is 29997 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 (29997 ÷ 3 = 9999) | 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 | No (remainder 2) | 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29997 ÷ 9 = 3333) | 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 (29997 ÷ 11 = 2727) | 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 29997 a prime number?
No. 29997 = × 11 × 101, so it is divisible by 3.
What are the factors of 29997?
1, 3, 9, 11, 27, 33, 99, 101, 297, 303, 909, 1111, 2727, 3333, 9999, 29997.
What is 29997 in binary?
111010100101101 (hexadecimal 752D, octal 72455).
What is the square root of 29997?
About 173.1964, exactly 3√3333.
Is 29997 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 29997?
It is a composite number with 16 divisors.