The number 29750
29750 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 17. Divisors (32): 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 125, 170 … 29750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29750 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 29750 itself that is 37642, so 29750 is abundant (37642 is more than 29750). Euler's totient φ(29750) = 9600 numbers up to 29750 share no factor with it.
- 4
The digits of 29750 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29750 = 2 \times 5^{3} \times 7 \times 17 \]29750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 9600 |
| Square | 885062500 |
| Cube | 26330609375000 |
| Square root | 172.481883 (= 5√1190) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.975 × |
29750 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and fifty |
| Binary (base 2) | 111010000110110 |
| Octal (base 8) | 72066 |
| Hexadecimal (base 16) | 7436 |
| Base 3 | 1111210212 |
| As time | 29750 seconds = 8 h 15 min 50 s |
Is 29750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29750 ÷ 2 = 14875) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (29750 ÷ 5 = 5950) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29750 ÷ 7 = 4250) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29750 ÷ 10 = 2975) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29750 a prime number?
No. 29750 = 2 × × 7 × 17, so it is divisible by 2.
What are the factors of 29750?
1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 125, 170, 175, 238, 250, 350, 425, 595, 850, 875, 1190, 1750, 2125, 2975, 4250, 5950, 14875, 29750.
What is 29750 in binary?
111010000110110 (hexadecimal 7436, octal 72066).
What is the square root of 29750?
About 172.4819, exactly 5√1190.
Is 29750 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29750?
It is a composite number with 32 divisors.