The number 60380
60380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3019. Divisors (12): 1, 2, 4, 5, 10, 20, 3019, 6038, 12076, 15095, 30190, 60380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60380: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60380 is composite. Its prime factorisation is
- 3
The divisors add up to 126840; without 60380 itself that is 66460, so 60380 is abundant (66460 is more than 60380). Euler's totient φ(60380) = 24144 numbers up to 60380 share no factor with it.
- 4
The digits of 60380 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60380 = 2^{2} \times 5 \times 3019 \]60380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126840 |
| Euler totient φ(n) | 24144 |
| Square | 3645744400 |
| Cube | 220130046872000 |
| Square root | 245.723422 (= 2√15095) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.038 × |
60380 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and eighty |
| Binary (base 2) | 1110101111011100 |
| Octal (base 8) | 165734 |
| Hexadecimal (base 16) | EBDC |
| Base 3 | 10001211022 |
| As time | 60380 seconds = 16 h 46 min 20 s |
Is 60380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60380 ÷ 2 = 30190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60380 ÷ 4 = 15095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60380 ÷ 5 = 12076) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60380 ÷ 10 = 6038) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60380 a prime number?
No. 60380 = × 5 × 3019, so it is divisible by 2.
What are the factors of 60380?
1, 2, 4, 5, 10, 20, 3019, 6038, 12076, 15095, 30190, 60380.
What is 60380 in binary?
1110101111011100 (hexadecimal EBDC, octal 165734).
What is the square root of 60380?
About 245.7234, exactly 2√15095.
Is 60380 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 60380?
60380 is a happy number: repeatedly adding the squares of its digits reaches 1.