The number 41132
41132 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 113. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 113, 182, 226, 364, 452, 791 … 41132.
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How to work it out
- 1
What is special about 41132: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41132 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 41132 itself that is 48244, so 41132 is abundant (48244 is more than 41132). Euler's totient φ(41132) = 16128 numbers up to 41132 share no factor with it.
- 4
The digits of 41132 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41132 = 2^{2} \times 7 \times 13 \times 113 \]41132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 16128 |
| Square | 1691841424 |
| Cube | 69588821451968 |
| Square root | 202.810256 (= 2√10283) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1132 × |
41132 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and thirty-two |
| Binary (base 2) | 1010000010101100 |
| Octal (base 8) | 120254 |
| Hexadecimal (base 16) | A0AC |
| Base 3 | 2002102102 |
| As time | 41132 seconds = 11 h 25 min 32 s |
Is 41132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41132 ÷ 2 = 20566) | 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 | Yes (41132 ÷ 4 = 10283) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41132 ÷ 7 = 5876) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41132 a prime number?
No. 41132 = × 7 × 13 × 113, so it is divisible by 2.
What are the factors of 41132?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 113, 182, 226, 364, 452, 791, 1469, 1582, 2938, 3164, 5876, 10283, 20566, 41132.
What is 41132 in binary?
1010000010101100 (hexadecimal A0AC, octal 120254).
What is the square root of 41132?
About 202.8103, exactly 2√10283.
Is 41132 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 41132?
41132 is a happy number: repeatedly adding the squares of its digits reaches 1.