The number 42612
42612 is a composite number with 24 divisors. Its prime factorisation is × 3 × 53 × 67. Divisors (24): 1, 2, 3, 4, 6, 12, 53, 67, 106, 134, 159, 201, 212, 268, 318, 402 … 42612.
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How to work it out
- 1
42612 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42612 is composite. Its prime factorisation is
- 3
The divisors add up to 102816; without 42612 itself that is 60204, so 42612 is abundant (60204 is more than 42612). Euler's totient φ(42612) = 13728 numbers up to 42612 share no factor with it.
- 4
The digits of 42612 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42612 = 2^{2} \times 3 \times 53 \times 67 \]42612 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102816 |
| Euler totient φ(n) | 13728 |
| Square | 1815782544 |
| Cube | 77374125764928 |
| Square root | 206.426742 (= 2√10653) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2612 × |
42612 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and twelve |
| Binary (base 2) | 1010011001110100 |
| Octal (base 8) | 123164 |
| Hexadecimal (base 16) | A674 |
| Base 3 | 2011110020 |
| As time | 42612 seconds = 11 h 50 min 12 s |
Is 42612 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42612 ÷ 2 = 21306) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42612 ÷ 3 = 14204) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42612 ÷ 4 = 10653) | 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 (42612 ÷ 6 = 7102) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42612 ÷ 12 = 3551) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42612 a prime number?
No. 42612 = × 3 × 53 × 67, so it is divisible by 2.
What are the factors of 42612?
1, 2, 3, 4, 6, 12, 53, 67, 106, 134, 159, 201, 212, 268, 318, 402, 636, 804, 3551, 7102, 10653, 14204, 21306, 42612.
What is 42612 in binary?
1010011001110100 (hexadecimal A674, octal 123164).
What is the square root of 42612?
About 206.4267, exactly 2√10653.
Is 42612 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42612?
It is a composite number with 24 divisors.