The number 12642
12642 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 43. Divisors (24): 1, 2, 3, 6, 7, 14, 21, 42, 43, 49, 86, 98, 129, 147, 258, 294 … 12642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12642 is composite. Its prime factorisation is
- 3
The divisors add up to 30096; without 12642 itself that is 17454, so 12642 is abundant (17454 is more than 12642). Euler's totient φ(12642) = 3528 numbers up to 12642 share no factor with it.
- 4
The digits of 12642 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12642 = 2 \times 3 \times 7^{2} \times 43 \]12642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30096 |
| Euler totient φ(n) | 3528 |
| Square | 159820164 |
| Cube | 2020446513288 |
| Square root | 112.436649 (= 7√258) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2642 × |
12642 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand six hundred and forty-two |
| Binary (base 2) | 11000101100010 |
| Octal (base 8) | 30542 |
| Hexadecimal (base 16) | 3162 |
| Base 3 | 122100020 |
| As time | 12642 seconds = 3 h 30 min 42 s |
Is 12642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12642 ÷ 2 = 6321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12642 ÷ 3 = 4214) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12642 ÷ 6 = 2107) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (12642 ÷ 7 = 1806) | 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 2) | 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 3) | 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 12642 a prime number?
No. 12642 = 2 × 3 × × 43, so it is divisible by 2.
What are the factors of 12642?
1, 2, 3, 6, 7, 14, 21, 42, 43, 49, 86, 98, 129, 147, 258, 294, 301, 602, 903, 1806, 2107, 4214, 6321, 12642.
What is 12642 in binary?
11000101100010 (hexadecimal 3162, octal 30542).
What is the square root of 12642?
About 112.4366, exactly 7√258.
Is 12642 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12642?
It is a composite number with 24 divisors.