The number 42460
42460 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 193. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 193, 220, 386, 772, 965 … 42460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42460 is composite. Its prime factorisation is
- 3
The divisors add up to 97776; without 42460 itself that is 55316, so 42460 is abundant (55316 is more than 42460). Euler's totient φ(42460) = 15360 numbers up to 42460 share no factor with it.
- 4
The digits of 42460 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
\[ 42460 = 2^{2} \times 5 \times 11 \times 193 \]42460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 97776 |
| Euler totient φ(n) | 15360 |
| Square | 1802851600 |
| Cube | 76549078936000 |
| Square root | 206.058244 (= 2√10615) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.246 × |
42460 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty |
| Binary (base 2) | 1010010111011100 |
| Octal (base 8) | 122734 |
| Hexadecimal (base 16) | A5DC |
| Base 3 | 2011020121 |
| As time | 42460 seconds = 11 h 47 min 40 s |
Is 42460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42460 ÷ 2 = 21230) | 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 (42460 ÷ 4 = 10615) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42460 ÷ 5 = 8492) | 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 5) | 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 (42460 ÷ 10 = 4246) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42460 ÷ 11 = 3860) | 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 42460 a prime number?
No. 42460 = × 5 × 11 × 193, so it is divisible by 2.
What are the factors of 42460?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 193, 220, 386, 772, 965, 1930, 2123, 3860, 4246, 8492, 10615, 21230, 42460.
What is 42460 in binary?
1010010111011100 (hexadecimal A5DC, octal 122734).
What is the square root of 42460?
About 206.0582, exactly 2√10615.
Is 42460 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42460?
It is a composite number with 24 divisors.