The number 41748
41748 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 71. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 71, 84, 98, 142 … 41748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41748 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 41748 itself that is 73164, so 41748 is abundant (73164 is more than 41748). Euler's totient φ(41748) = 11760 numbers up to 41748 share no factor with it.
- 4
The digits of 41748 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41748 = 2^{2} \times 3 \times 7^{2} \times 71 \]41748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 11760 |
| Square | 1742895504 |
| Cube | 72762401500992 |
| Square root | 204.323273 (= 14√213) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1748 × |
41748 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and forty-eight |
| Binary (base 2) | 1010001100010100 |
| Octal (base 8) | 121424 |
| Hexadecimal (base 16) | A314 |
| Base 3 | 2010021020 |
| As time | 41748 seconds = 11 h 35 min 48 s |
Is 41748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41748 ÷ 2 = 20874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41748 ÷ 3 = 13916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41748 ÷ 4 = 10437) | 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 | Yes (41748 ÷ 6 = 6958) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41748 ÷ 7 = 5964) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41748 ÷ 12 = 3479) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41748 a prime number?
No. 41748 = × 3 × × 71, so it is divisible by 2.
What are the factors of 41748?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 71, 84, 98, 142, 147, 196, 213, 284, 294, 426, 497, 588, 852, 994, 1491, 1988, 2982, 3479, 5964, 6958, 10437, 13916, 20874, 41748.
What is 41748 in binary?
1010001100010100 (hexadecimal A314, octal 121424).
What is the square root of 41748?
About 204.3233, exactly 14√213.
Is 41748 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 41748?
It is a composite number with 36 divisors.