The number 41138
41138 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 307. Divisors (8): 1, 2, 67, 134, 307, 614, 20569, 41138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41138: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41138 is composite. Its prime factorisation is
- 3
The divisors add up to 62832; without 41138 itself that is 21694, so 41138 is deficient (21694 is less than 41138). Euler's totient φ(41138) = 20196 numbers up to 41138 share no factor with it.
- 4
The digits of 41138 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
\[ 41138 = 2 \times 67 \times 307 \]
41138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62832 |
| Euler totient φ(n) | 20196 |
| Square | 1692335044 |
| Cube | 69619279040072 |
| Square root | 202.825048 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1138 × |
41138 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and thirty-eight |
| Binary (base 2) | 1010000010110010 |
| Octal (base 8) | 120262 |
| Hexadecimal (base 16) | A0B2 |
| Base 3 | 2002102122 |
| As time | 41138 seconds = 11 h 25 min 38 s |
Is 41138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41138 ÷ 2 = 20569) | 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 | No (remainder 3) | 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 6) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 41138 a prime number?
No. 41138 = 2 × 67 × 307, so it is divisible by 2.
What are the factors of 41138?
1, 2, 67, 134, 307, 614, 20569, 41138.
What is 41138 in binary?
1010000010110010 (hexadecimal A0B2, octal 120262).
What is the square root of 41138?
About 202.8250.
Is 41138 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41138?
41138 is a happy number: repeatedly adding the squares of its digits reaches 1.