The number 67642
67642 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 1091. Divisors (8): 1, 2, 31, 62, 1091, 2182, 33821, 67642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67642 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 67642 itself that is 37190, so 67642 is deficient (37190 is less than 67642). Euler's totient φ(67642) = 32700 numbers up to 67642 share no factor with it.
- 4
The digits of 67642 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67642 = 2 \times 31 \times 1091 \]
67642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 32700 |
| Square | 4575440164 |
| Cube | 309491923573288 |
| Square root | 260.080757 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7642 × |
67642 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and forty-two |
| Binary (base 2) | 10000100000111010 |
| Octal (base 8) | 204072 |
| Hexadecimal (base 16) | 1083A |
| Base 3 | 10102210021 |
| As time | 67642 seconds = 18 h 47 min 22 s |
Is 67642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67642 ÷ 2 = 33821) | 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 | 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 | No (remainder 4) | 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 2) | 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 | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67642 a prime number?
No. 67642 = 2 × 31 × 1091, so it is divisible by 2.
What are the factors of 67642?
1, 2, 31, 62, 1091, 2182, 33821, 67642.
What is 67642 in binary?
10000100000111010 (hexadecimal 1083A, octal 204072).
What is the square root of 67642?
About 260.0808.
Is 67642 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67642?
It is a composite number with 8 divisors.