The number 42512
42512 is a composite number with 10 divisors. Its prime factorisation is × 2657. Divisors (10): 1, 2, 4, 8, 16, 2657, 5314, 10628, 21256, 42512.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42512 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42512 is composite. Its prime factorisation is
- 3
The divisors add up to 82398; without 42512 itself that is 39886, so 42512 is deficient (39886 is less than 42512). Euler's totient φ(42512) = 21248 numbers up to 42512 share no factor with it.
- 4
The digits of 42512 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42512 = 2^{4} \times 2657 \]42512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 82398 |
| Euler totient φ(n) | 21248 |
| Square | 1807270144 |
| Cube | 76830668361728 |
| Square root | 206.184384 (= 4√2657) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2512 × |
42512 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and twelve |
| Binary (base 2) | 1010011000010000 |
| Octal (base 8) | 123020 |
| Hexadecimal (base 16) | A610 |
| Base 3 | 2011022112 |
| As time | 42512 seconds = 11 h 48 min 32 s |
Is 42512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42512 ÷ 2 = 21256) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42512 ÷ 4 = 10628) | 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 | No (remainder 2) | 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 | Yes (42512 ÷ 8 = 5314) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42512 a prime number?
No. 42512 = × 2657, so it is divisible by 2.
What are the factors of 42512?
1, 2, 4, 8, 16, 2657, 5314, 10628, 21256, 42512.
What is 42512 in binary?
1010011000010000 (hexadecimal A610, octal 123020).
What is the square root of 42512?
About 206.1844, exactly 4√2657.
Is 42512 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42512?
It is a composite number with 10 divisors.