The number 41008
41008 is a composite number with 20 divisors. Its prime factorisation is × 11 × 233. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 233, 466, 932, 1864, 2563, 3728 … 41008.
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How to work it out
- 1
41008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41008 is composite. Its prime factorisation is
- 3
The divisors add up to 87048; without 41008 itself that is 46040, so 41008 is abundant (46040 is more than 41008). Euler's totient φ(41008) = 18560 numbers up to 41008 share no factor with it.
- 4
The digits of 41008 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41008 = 2^{4} \times 11 \times 233 \]41008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 87048 |
| Euler totient φ(n) | 18560 |
| Square | 1681656064 |
| Cube | 68961351872512 |
| Square root | 202.504321 (= 4√2563) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1008 × |
41008 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and eight |
| Binary (base 2) | 1010000000110000 |
| Octal (base 8) | 120060 |
| Hexadecimal (base 16) | A030 |
| Base 3 | 2002020211 |
| As time | 41008 seconds = 11 h 23 min 28 s |
Is 41008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41008 ÷ 2 = 20504) | 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 (41008 ÷ 4 = 10252) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (41008 ÷ 8 = 5126) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (41008 ÷ 11 = 3728) | 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 41008 a prime number?
No. 41008 = × 11 × 233, so it is divisible by 2.
What are the factors of 41008?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 233, 466, 932, 1864, 2563, 3728, 5126, 10252, 20504, 41008.
What is 41008 in binary?
1010000000110000 (hexadecimal A030, octal 120060).
What is the square root of 41008?
About 202.5043, exactly 4√2563.
Is 41008 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 41008?
It is a composite number with 20 divisors.