The number 42486
42486 is a triangular number: 1 + 2 + … + 291 = 42486. Its prime factorisation is 2 × 3 × 73 × 97. Divisors (16): 1, 2, 3, 6, 73, 97, 146, 194, 219, 291, 438, 582, 7081, 14162, 21243, 42486.
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How to work it out
- 1
What is special about 42486: a triangular number: 1 + 2 + … + 291 = 42486.
- 2
42486 is composite. Its prime factorisation is
- 3
The divisors add up to 87024; without 42486 itself that is 44538, so 42486 is abundant (44538 is more than 42486). Euler's totient φ(42486) = 13824 numbers up to 42486 share no factor with it.
- 4
The digits of 42486 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42486 = 2 \times 3 \times 73 \times 97 \]
42486 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87024 |
| Euler totient φ(n) | 13824 |
| Square | 1805060196 |
| Cube | 76689787487256 |
| Square root | 206.121323 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2486 × |
42486 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and eighty-six |
| Binary (base 2) | 1010010111110110 |
| Octal (base 8) | 122766 |
| Hexadecimal (base 16) | A5F6 |
| Base 3 | 2011021120 |
| As time | 42486 seconds = 11 h 48 min 6 s |
Is 42486 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42486 ÷ 2 = 21243) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42486 ÷ 3 = 14162) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42486 ÷ 6 = 7081) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 42486 a prime number?
No. 42486 = 2 × 3 × 73 × 97, so it is divisible by 2.
What are the factors of 42486?
1, 2, 3, 6, 73, 97, 146, 194, 219, 291, 438, 582, 7081, 14162, 21243, 42486.
What is 42486 in binary?
1010010111110110 (hexadecimal A5F6, octal 122766).
What is the square root of 42486?
About 206.1213.
Is 42486 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42486?
42486 is a triangular number: 1 + 2 + … + 291 = 42486.