The number 41750
41750 is a composite number with 16 divisors. Its prime factorisation is 2 × × 167. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 167, 250, 334, 835, 1670, 4175, 8350, 20875, 41750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41750: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41750 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 41750 itself that is 36874, so 41750 is deficient (36874 is less than 41750). Euler's totient φ(41750) = 16600 numbers up to 41750 share no factor with it.
- 4
The digits of 41750 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41750 = 2 \times 5^{3} \times 167 \]41750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 16600 |
| Square | 1743062500 |
| Cube | 72772859375000 |
| Square root | 204.328167 (= 5√1670) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.175 × |
41750 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and fifty |
| Binary (base 2) | 1010001100010110 |
| Octal (base 8) | 121426 |
| Hexadecimal (base 16) | A316 |
| Base 3 | 2010021022 |
| As time | 41750 seconds = 11 h 35 min 50 s |
Is 41750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41750 ÷ 2 = 20875) | 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 (41750 ÷ 5 = 8350) | 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 | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41750 ÷ 10 = 4175) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41750 a prime number?
No. 41750 = 2 × × 167, so it is divisible by 2.
What are the factors of 41750?
1, 2, 5, 10, 25, 50, 125, 167, 250, 334, 835, 1670, 4175, 8350, 20875, 41750.
What is 41750 in binary?
1010001100010110 (hexadecimal A316, octal 121426).
What is the square root of 41750?
About 204.3282, exactly 5√1670.
Is 41750 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41750?
41750 is a happy number: repeatedly adding the squares of its digits reaches 1.