The number 60642
60642 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1123. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1123, 2246, 3369, 6738, 10107, 20214, 30321, 60642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60642: a Harshad number: divisible by its digit sum 18.
- 2
60642 is composite. Its prime factorisation is
- 3
The divisors add up to 134880; without 60642 itself that is 74238, so 60642 is abundant (74238 is more than 60642). Euler's totient φ(60642) = 20196 numbers up to 60642 share no factor with it.
- 4
The digits of 60642 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60642 = 2 \times 3^{3} \times 1123 \]60642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134880 |
| Euler totient φ(n) | 20196 |
| Square | 3677452164 |
| Cube | 223008054129288 |
| Square root | 246.255964 (= 3√6738) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0642 × |
60642 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand six hundred and forty-two |
| Binary (base 2) | 1110110011100010 |
| Octal (base 8) | 166342 |
| Hexadecimal (base 16) | ECE2 |
| Base 3 | 10002012000 |
| As time | 60642 seconds = 16 h 50 min 42 s |
Is 60642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60642 ÷ 2 = 30321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60642 ÷ 3 = 20214) | 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 (60642 ÷ 6 = 10107) | 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 | Yes (60642 ÷ 9 = 6738) | 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 10) | 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 60642 a prime number?
No. 60642 = 2 × × 1123, so it is divisible by 2.
What are the factors of 60642?
1, 2, 3, 6, 9, 18, 27, 54, 1123, 2246, 3369, 6738, 10107, 20214, 30321, 60642.
What is 60642 in binary?
1110110011100010 (hexadecimal ECE2, octal 166342).
What is the square root of 60642?
About 246.2560, exactly 3√6738.
Is 60642 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60642?
60642 is a Harshad number: divisible by its digit sum 18.