The number 42246
42246 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2347. Divisors (12): 1, 2, 3, 6, 9, 18, 2347, 4694, 7041, 14082, 21123, 42246.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42246: a Harshad number: divisible by its digit sum 18.
- 2
42246 is composite. Its prime factorisation is
- 3
The divisors add up to 91572; without 42246 itself that is 49326, so 42246 is abundant (49326 is more than 42246). Euler's totient φ(42246) = 14076 numbers up to 42246 share no factor with it.
- 4
The digits of 42246 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42246 = 2 \times 3^{2} \times 2347 \]42246 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91572 |
| Euler totient φ(n) | 14076 |
| Square | 1784724516 |
| Cube | 75397471902936 |
| Square root | 205.538318 (= 3√4694) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2246 × |
42246 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and forty-six |
| Binary (base 2) | 1010010100000110 |
| Octal (base 8) | 122406 |
| Hexadecimal (base 16) | A506 |
| Base 3 | 2010221200 |
| As time | 42246 seconds = 11 h 44 min 6 s |
Is 42246 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42246 ÷ 2 = 21123) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42246 ÷ 3 = 14082) | 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 (42246 ÷ 6 = 7041) | 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 (42246 ÷ 9 = 4694) | 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 6) | 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 42246 a prime number?
No. 42246 = 2 × × 2347, so it is divisible by 2.
What are the factors of 42246?
1, 2, 3, 6, 9, 18, 2347, 4694, 7041, 14082, 21123, 42246.
What is 42246 in binary?
1010010100000110 (hexadecimal A506, octal 122406).
What is the square root of 42246?
About 205.5383, exactly 3√4694.
Is 42246 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42246?
42246 is a Harshad number: divisible by its digit sum 18.