The number 41832
41832 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 83. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 41832.
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How to work it out
- 1
What is special about 41832: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
41832 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 41832 itself that is 89208, so 41832 is abundant (89208 is more than 41832). Euler's totient φ(41832) = 11808 numbers up to 41832 share no factor with it.
- 4
The digits of 41832 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41832 = 2^{3} \times 3^{2} \times 7 \times 83 \]41832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 11808 |
| Square | 1749916224 |
| Cube | 73202495482368 |
| Square root | 204.528727 (= 6√1162) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.1832 × |
41832 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and thirty-two |
| Binary (base 2) | 1010001101101000 |
| Octal (base 8) | 121550 |
| Hexadecimal (base 16) | A368 |
| Base 3 | 2010101100 |
| As time | 41832 seconds = 11 h 37 min 12 s |
Is 41832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41832 ÷ 2 = 20916) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41832 ÷ 3 = 13944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41832 ÷ 4 = 10458) | 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 (41832 ÷ 6 = 6972) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41832 ÷ 7 = 5976) | 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 (41832 ÷ 8 = 5229) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41832 ÷ 9 = 4648) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41832 ÷ 12 = 3486) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41832 a prime number?
No. 41832 = × × 7 × 83, so it is divisible by 2.
What are the factors of 41832?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 83, 84, 126, 166, 168, 249, 252, 332, 498, 504, 581, 664, 747, 996, 1162, 1494, 1743, 1992, 2324, 2988, 3486, 4648, 5229, 5976, 6972, 10458, 13944, 20916, 41832.
What is 41832 in binary?
1010001101101000 (hexadecimal A368, octal 121550).
What is the square root of 41832?
About 204.5287, exactly 6√1162.
Is 41832 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41832?
41832 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.