The number 41488
41488 is a composite number with 10 divisors. Its prime factorisation is × 2593. Divisors (10): 1, 2, 4, 8, 16, 2593, 5186, 10372, 20744, 41488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41488 is composite. Its prime factorisation is
- 3
The divisors add up to 80414; without 41488 itself that is 38926, so 41488 is deficient (38926 is less than 41488). Euler's totient φ(41488) = 20736 numbers up to 41488 share no factor with it.
- 4
The digits of 41488 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41488 = 2^{4} \times 2593 \]41488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 80414 |
| Euler totient φ(n) | 20736 |
| Square | 1721254144 |
| Cube | 71411391926272 |
| Square root | 203.686033 (= 4√2593) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.1488 × |
41488 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and eighty-eight |
| Binary (base 2) | 1010001000010000 |
| Octal (base 8) | 121020 |
| Hexadecimal (base 16) | A210 |
| Base 3 | 2002220121 |
| As time | 41488 seconds = 11 h 31 min 28 s |
Is 41488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41488 ÷ 2 = 20744) | 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 (41488 ÷ 4 = 10372) | 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 6) | 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 (41488 ÷ 8 = 5186) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 41488 a prime number?
No. 41488 = × 2593, so it is divisible by 2.
What are the factors of 41488?
1, 2, 4, 8, 16, 2593, 5186, 10372, 20744, 41488.
What is 41488 in binary?
1010001000010000 (hexadecimal A210, octal 121020).
What is the square root of 41488?
About 203.6860, exactly 4√2593.
Is 41488 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 41488?
It is a composite number with 10 divisors.