The number 29850
29850 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 199. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 199, 398, 597, 995 … 29850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29850 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29850 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 29850 itself that is 44550, so 29850 is abundant (44550 is more than 29850). Euler's totient φ(29850) = 7920 numbers up to 29850 share no factor with it.
- 4
The digits of 29850 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29850 = 2 \times 3 \times 5^{2} \times 199 \]29850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 7920 |
| Square | 891022500 |
| Cube | 26597021625000 |
| Square root | 172.771525 (= 5√1194) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.985 × |
29850 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and fifty |
| Binary (base 2) | 111010010011010 |
| Octal (base 8) | 72232 |
| Hexadecimal (base 16) | 749A |
| Base 3 | 1111221120 |
| As time | 29850 seconds = 8 h 17 min 30 s |
Is 29850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29850 ÷ 2 = 14925) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29850 ÷ 3 = 9950) | 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 (29850 ÷ 5 = 5970) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29850 ÷ 6 = 4975) | 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 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 | Yes (29850 ÷ 10 = 2985) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 29850 a prime number?
No. 29850 = 2 × 3 × × 199, so it is divisible by 2.
What are the factors of 29850?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 199, 398, 597, 995, 1194, 1990, 2985, 4975, 5970, 9950, 14925, 29850.
What is 29850 in binary?
111010010011010 (hexadecimal 749A, octal 72232).
What is the square root of 29850?
About 172.7715, exactly 5√1194.
Is 29850 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 29850?
It is a composite number with 24 divisors.