The number 29958
29958 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4993. Divisors (8): 1, 2, 3, 6, 4993, 9986, 14979, 29958.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29958 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29958 is composite. Its prime factorisation is
- 3
The divisors add up to 59928; without 29958 itself that is 29970, so 29958 is abundant (29970 is more than 29958). Euler's totient φ(29958) = 9984 numbers up to 29958 share no factor with it.
- 4
The digits of 29958 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
\[ 29958 = 2 \times 3 \times 4993 \]
29958 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59928 |
| Euler totient φ(n) | 9984 |
| Square | 897481764 |
| Cube | 26886758685912 |
| Square root | 173.083795 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9958 × |
29958 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and fifty-eight |
| Binary (base 2) | 111010100000110 |
| Octal (base 8) | 72406 |
| Hexadecimal (base 16) | 7506 |
| Base 3 | 1112002120 |
| As time | 29958 seconds = 8 h 19 min 18 s |
Is 29958 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29958 ÷ 2 = 14979) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29958 ÷ 3 = 9986) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29958 ÷ 6 = 4993) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 29958 a prime number?
No. 29958 = 2 × 3 × 4993, so it is divisible by 2.
What are the factors of 29958?
1, 2, 3, 6, 4993, 9986, 14979, 29958.
What is 29958 in binary?
111010100000110 (hexadecimal 7506, octal 72406).
What is the square root of 29958?
About 173.0838.
Is 29958 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 29958?
It is a composite number with 8 divisors.