The number 41632
41632 is a composite number with 12 divisors. Its prime factorisation is × 1301. Divisors (12): 1, 2, 4, 8, 16, 32, 1301, 2602, 5204, 10408, 20816, 41632.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41632: a Harshad number: divisible by its digit sum 16.
- 2
41632 is composite. Its prime factorisation is
- 3
The divisors add up to 82026; without 41632 itself that is 40394, so 41632 is deficient (40394 is less than 41632). Euler's totient φ(41632) = 20800 numbers up to 41632 share no factor with it.
- 4
The digits of 41632 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41632 = 2^{5} \times 1301 \]41632 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82026 |
| Euler totient φ(n) | 20800 |
| Square | 1733223424 |
| Cube | 72157557587968 |
| Square root | 204.039212 (= 4√2602) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.1632 × |
41632 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and thirty-two |
| Binary (base 2) | 1010001010100000 |
| Octal (base 8) | 121240 |
| Hexadecimal (base 16) | A2A0 |
| Base 3 | 2010002221 |
| As time | 41632 seconds = 11 h 33 min 52 s |
Is 41632 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41632 ÷ 2 = 20816) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41632 ÷ 4 = 10408) | 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 4) | 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 | Yes (41632 ÷ 8 = 5204) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41632 a prime number?
No. 41632 = × 1301, so it is divisible by 2.
What are the factors of 41632?
1, 2, 4, 8, 16, 32, 1301, 2602, 5204, 10408, 20816, 41632.
What is 41632 in binary?
1010001010100000 (hexadecimal A2A0, octal 121240).
What is the square root of 41632?
About 204.0392, exactly 4√2602.
Is 41632 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41632?
41632 is a Harshad number: divisible by its digit sum 16.