The number 60348
60348 is a composite number with 24 divisors. Its prime factorisation is × 3 × 47 × 107. Divisors (24): 1, 2, 3, 4, 6, 12, 47, 94, 107, 141, 188, 214, 282, 321, 428, 564 … 60348.
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How to work it out
- 1
60348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60348 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 60348 itself that is 84804, so 60348 is abundant (84804 is more than 60348). Euler's totient φ(60348) = 19504 numbers up to 60348 share no factor with it.
- 4
The digits of 60348 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60348 = 2^{2} \times 3 \times 47 \times 107 \]60348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 19504 |
| Square | 3641881104 |
| Cube | 219780240864192 |
| Square root | 245.658299 (= 2√15087) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.0348 × |
60348 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and forty-eight |
| Binary (base 2) | 1110101110111100 |
| Octal (base 8) | 165674 |
| Hexadecimal (base 16) | EBBC |
| Base 3 | 10001210010 |
| As time | 60348 seconds = 16 h 45 min 48 s |
Is 60348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60348 ÷ 2 = 30174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60348 ÷ 3 = 20116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60348 ÷ 4 = 15087) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60348 ÷ 6 = 10058) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60348 ÷ 12 = 5029) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60348 a prime number?
No. 60348 = × 3 × 47 × 107, so it is divisible by 2.
What are the factors of 60348?
1, 2, 3, 4, 6, 12, 47, 94, 107, 141, 188, 214, 282, 321, 428, 564, 642, 1284, 5029, 10058, 15087, 20116, 30174, 60348.
What is 60348 in binary?
1110101110111100 (hexadecimal EBBC, octal 165674).
What is the square root of 60348?
About 245.6583, exactly 2√15087.
Is 60348 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60348?
It is a composite number with 24 divisors.