The number 41112
41112 is a composite number with 24 divisors. Its prime factorisation is × × 571. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 571, 1142, 1713, 2284 … 41112.
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How to work it out
- 1
What is special about 41112: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
41112 is composite. Its prime factorisation is
- 3
The divisors add up to 111540; without 41112 itself that is 70428, so 41112 is abundant (70428 is more than 41112). Euler's totient φ(41112) = 13680 numbers up to 41112 share no factor with it.
- 4
The digits of 41112 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41112 = 2^{3} \times 3^{2} \times 571 \]41112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111540 |
| Euler totient φ(n) | 13680 |
| Square | 1690196544 |
| Cube | 69487360316928 |
| Square root | 202.760943 (= 6√1142) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1112 × |
41112 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and twelve |
| Binary (base 2) | 1010000010011000 |
| Octal (base 8) | 120230 |
| Hexadecimal (base 16) | A098 |
| Base 3 | 2002101200 |
| As time | 41112 seconds = 11 h 25 min 12 s |
Is 41112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41112 ÷ 2 = 20556) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41112 ÷ 3 = 13704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41112 ÷ 4 = 10278) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41112 ÷ 6 = 6852) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (41112 ÷ 8 = 5139) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41112 ÷ 9 = 4568) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (41112 ÷ 12 = 3426) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41112 a prime number?
No. 41112 = × × 571, so it is divisible by 2.
What are the factors of 41112?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 571, 1142, 1713, 2284, 3426, 4568, 5139, 6852, 10278, 13704, 20556, 41112.
What is 41112 in binary?
1010000010011000 (hexadecimal A098, octal 120230).
What is the square root of 41112?
About 202.7609, exactly 6√1142.
Is 41112 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41112?
41112 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.