The number 60342
60342 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 89 × 113. Divisors (16): 1, 2, 3, 6, 89, 113, 178, 226, 267, 339, 534, 678, 10057, 20114, 30171, 60342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60342 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 60342 itself that is 62778, so 60342 is abundant (62778 is more than 60342). Euler's totient φ(60342) = 19712 numbers up to 60342 share no factor with it.
- 4
The digits of 60342 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60342 = 2 \times 3 \times 89 \times 113 \]
60342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 19712 |
| Square | 3641156964 |
| Cube | 219714693521688 |
| Square root | 245.646087 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0342 × |
60342 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and forty-two |
| Binary (base 2) | 1110101110110110 |
| Octal (base 8) | 165666 |
| Hexadecimal (base 16) | EBB6 |
| Base 3 | 10001202220 |
| As time | 60342 seconds = 16 h 45 min 42 s |
Is 60342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60342 ÷ 2 = 30171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60342 ÷ 3 = 20114) | 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 (60342 ÷ 6 = 10057) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 7) | 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 60342 a prime number?
No. 60342 = 2 × 3 × 89 × 113, so it is divisible by 2.
What are the factors of 60342?
1, 2, 3, 6, 89, 113, 178, 226, 267, 339, 534, 678, 10057, 20114, 30171, 60342.
What is 60342 in binary?
1110101110110110 (hexadecimal EBB6, octal 165666).
What is the square root of 60342?
About 245.6461.
Is 60342 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60342?
It is a composite number with 16 divisors.