The number 41730
41730 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 107. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 107, 130, 195 … 41730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41730: a Harshad number: divisible by its digit sum 15.
- 2
41730 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 41730 itself that is 67134, so 41730 is abundant (67134 is more than 41730). Euler's totient φ(41730) = 10176 numbers up to 41730 share no factor with it.
- 4
The digits of 41730 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41730 = 2 \times 3 \times 5 \times 13 \times 107 \]
41730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 10176 |
| Square | 1741392900 |
| Cube | 72668325717000 |
| Square root | 204.279221 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.173 × |
41730 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and thirty |
| Binary (base 2) | 1010001100000010 |
| Octal (base 8) | 121402 |
| Hexadecimal (base 16) | A302 |
| Base 3 | 2010020120 |
| As time | 41730 seconds = 11 h 35 min 30 s |
Is 41730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41730 ÷ 2 = 20865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41730 ÷ 3 = 13910) | 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 (41730 ÷ 5 = 8346) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41730 ÷ 6 = 6955) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (41730 ÷ 10 = 4173) | 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 41730 a prime number?
No. 41730 = 2 × 3 × 5 × 13 × 107, so it is divisible by 2.
What are the factors of 41730?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 107, 130, 195, 214, 321, 390, 535, 642, 1070, 1391, 1605, 2782, 3210, 4173, 6955, 8346, 13910, 20865, 41730.
What is 41730 in binary?
1010001100000010 (hexadecimal A302, octal 121402).
What is the square root of 41730?
About 204.2792.
Is 41730 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 41730?
41730 is a Harshad number: divisible by its digit sum 15.