The number 41742
41742 is a composite number with 16 divisors. Its prime factorisation is 2 × × 773. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 773, 1546, 2319, 4638, 6957, 13914, 20871, 41742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41742: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
41742 is composite. Its prime factorisation is
- 3
The divisors add up to 92880; without 41742 itself that is 51138, so 41742 is abundant (51138 is more than 41742). Euler's totient φ(41742) = 13896 numbers up to 41742 share no factor with it.
- 4
The digits of 41742 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41742 = 2 \times 3^{3} \times 773 \]41742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92880 |
| Euler totient φ(n) | 13896 |
| Square | 1742394564 |
| Cube | 72731033890488 |
| Square root | 204.308590 (= 3√4638) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1742 × |
41742 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and forty-two |
| Binary (base 2) | 1010001100001110 |
| Octal (base 8) | 121416 |
| Hexadecimal (base 16) | A30E |
| Base 3 | 2010021000 |
| As time | 41742 seconds = 11 h 35 min 42 s |
Is 41742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41742 ÷ 2 = 20871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41742 ÷ 3 = 13914) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41742 ÷ 6 = 6957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41742 ÷ 9 = 4638) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41742 a prime number?
No. 41742 = 2 × × 773, so it is divisible by 2.
What are the factors of 41742?
1, 2, 3, 6, 9, 18, 27, 54, 773, 1546, 2319, 4638, 6957, 13914, 20871, 41742.
What is 41742 in binary?
1010001100001110 (hexadecimal A30E, octal 121416).
What is the square root of 41742?
About 204.3086, exactly 3√4638.
Is 41742 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41742?
41742 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.