The number 29730
29730 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 991. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 991, 1982, 2973, 4955, 5946, 9910, 14865, 29730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29730 is composite. Its prime factorisation is
- 3
The divisors add up to 71424; without 29730 itself that is 41694, so 29730 is abundant (41694 is more than 29730). Euler's totient φ(29730) = 7920 numbers up to 29730 share no factor with it.
- 4
The digits of 29730 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29730 = 2 \times 3 \times 5 \times 991 \]
29730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71424 |
| Euler totient φ(n) | 7920 |
| Square | 883872900 |
| Cube | 26277541317000 |
| Square root | 172.423896 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.973 × |
29730 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and thirty |
| Binary (base 2) | 111010000100010 |
| Octal (base 8) | 72042 |
| Hexadecimal (base 16) | 7422 |
| Base 3 | 1111210010 |
| As time | 29730 seconds = 8 h 15 min 30 s |
Is 29730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29730 ÷ 2 = 14865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29730 ÷ 3 = 9910) | 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 | Yes (29730 ÷ 5 = 5946) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29730 ÷ 6 = 4955) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29730 ÷ 10 = 2973) | 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 29730 a prime number?
No. 29730 = 2 × 3 × 5 × 991, so it is divisible by 2.
What are the factors of 29730?
1, 2, 3, 5, 6, 10, 15, 30, 991, 1982, 2973, 4955, 5946, 9910, 14865, 29730.
What is 29730 in binary?
111010000100010 (hexadecimal 7422, octal 72042).
What is the square root of 29730?
About 172.4239.
Is 29730 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29730?
It is a composite number with 16 divisors.