The number 41740
41740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2087. Divisors (12): 1, 2, 4, 5, 10, 20, 2087, 4174, 8348, 10435, 20870, 41740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41740: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41740 is composite. Its prime factorisation is
- 3
The divisors add up to 87696; without 41740 itself that is 45956, so 41740 is abundant (45956 is more than 41740). Euler's totient φ(41740) = 16688 numbers up to 41740 share no factor with it.
- 4
The digits of 41740 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41740 = 2^{2} \times 5 \times 2087 \]41740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87696 |
| Euler totient φ(n) | 16688 |
| Square | 1742227600 |
| Cube | 72720580024000 |
| Square root | 204.303696 (= 2√10435) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.174 × |
41740 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and forty |
| Binary (base 2) | 1010001100001100 |
| Octal (base 8) | 121414 |
| Hexadecimal (base 16) | A30C |
| Base 3 | 2010020221 |
| As time | 41740 seconds = 11 h 35 min 40 s |
Is 41740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41740 ÷ 2 = 20870) | 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 (41740 ÷ 4 = 10435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41740 ÷ 5 = 8348) | 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 | No (remainder 4) | 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 | Yes (41740 ÷ 10 = 4174) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 41740 a prime number?
No. 41740 = × 5 × 2087, so it is divisible by 2.
What are the factors of 41740?
1, 2, 4, 5, 10, 20, 2087, 4174, 8348, 10435, 20870, 41740.
What is 41740 in binary?
1010001100001100 (hexadecimal A30C, octal 121414).
What is the square root of 41740?
About 204.3037, exactly 2√10435.
Is 41740 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41740?
41740 is a happy number: repeatedly adding the squares of its digits reaches 1.