The number 29979
29979 is a composite number with 6 divisors. Its prime factorisation is × 3331. Divisors (6): 1, 3, 9, 3331, 9993, 29979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29979 is composite. Its prime factorisation is
- 3
The divisors add up to 43316; without 29979 itself that is 13337, so 29979 is deficient (13337 is less than 29979). Euler's totient φ(29979) = 19980 numbers up to 29979 share no factor with it.
- 4
The digits of 29979 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 209 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29979 = 3^{2} \times 3331 \]29979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 43316 |
| Euler totient φ(n) | 19980 |
| Square | 898740441 |
| Cube | 26943339680739 |
| Square root | 173.144448 (= 3√3331) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 209 |
| Scientific notation | 2.9979 × |
29979 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and seventy-nine |
| Binary (base 2) | 111010100011011 |
| Octal (base 8) | 72433 |
| Hexadecimal (base 16) | 751B |
| Base 3 | 1112010100 |
| As time | 29979 seconds = 8 h 19 min 39 s |
Is 29979 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 (29979 ÷ 3 = 9993) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29979 ÷ 9 = 3331) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29979 a prime number?
No. 29979 = × 3331, so it is divisible by 3.
What are the factors of 29979?
1, 3, 9, 3331, 9993, 29979.
What is 29979 in binary?
111010100011011 (hexadecimal 751B, octal 72433).
What is the square root of 29979?
About 173.1444, exactly 3√3331.
Is 29979 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 29979?
It is a composite number with 6 divisors.