The number 41048
41048 is a composite number with 16 divisors. Its prime factorisation is × 7 × 733. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 733, 1466, 2932, 5131, 5864, 10262, 20524, 41048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41048 is composite. Its prime factorisation is
- 3
The divisors add up to 88080; without 41048 itself that is 47032, so 41048 is abundant (47032 is more than 41048). Euler's totient φ(41048) = 17568 numbers up to 41048 share no factor with it.
- 4
The digits of 41048 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41048 = 2^{3} \times 7 \times 733 \]41048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88080 |
| Euler totient φ(n) | 17568 |
| Square | 1684938304 |
| Cube | 69163347502592 |
| Square root | 202.603060 (= 2√10262) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1048 × |
41048 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and forty-eight |
| Binary (base 2) | 1010000001011000 |
| Octal (base 8) | 120130 |
| Hexadecimal (base 16) | A058 |
| Base 3 | 2002022022 |
| As time | 41048 seconds = 11 h 24 min 8 s |
Is 41048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41048 ÷ 2 = 20524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41048 ÷ 4 = 10262) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41048 ÷ 7 = 5864) | 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 (41048 ÷ 8 = 5131) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41048 a prime number?
No. 41048 = × 7 × 733, so it is divisible by 2.
What are the factors of 41048?
1, 2, 4, 7, 8, 14, 28, 56, 733, 1466, 2932, 5131, 5864, 10262, 20524, 41048.
What is 41048 in binary?
1010000001011000 (hexadecimal A058, octal 120130).
What is the square root of 41048?
About 202.6031, exactly 2√10262.
Is 41048 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41048?
41048 is a happy number: repeatedly adding the squares of its digits reaches 1.