The number 60228
60228 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 239. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 60228.
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How to work it out
- 1
What is special about 60228: a Harshad number: divisible by its digit sum 18.
- 2
60228 is composite. Its prime factorisation is
- 3
The divisors add up to 174720; without 60228 itself that is 114492, so 60228 is abundant (114492 is more than 60228). Euler's totient φ(60228) = 17136 numbers up to 60228 share no factor with it.
- 4
The digits of 60228 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60228 = 2^{2} \times 3^{2} \times 7 \times 239 \]60228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 174720 |
| Euler totient φ(n) | 17136 |
| Square | 3627411984 |
| Cube | 218471768972352 |
| Square root | 245.413936 (= 6√1673) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0228 × |
60228 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand two hundred and twenty-eight |
| Binary (base 2) | 1110101101000100 |
| Octal (base 8) | 165504 |
| Hexadecimal (base 16) | EB44 |
| Base 3 | 10001121200 |
| As time | 60228 seconds = 16 h 43 min 48 s |
Is 60228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60228 ÷ 2 = 30114) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60228 ÷ 3 = 20076) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60228 ÷ 4 = 15057) | 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 (60228 ÷ 6 = 10038) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60228 ÷ 7 = 8604) | 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 | Yes (60228 ÷ 9 = 6692) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60228 ÷ 12 = 5019) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60228 a prime number?
No. 60228 = × × 7 × 239, so it is divisible by 2.
What are the factors of 60228?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 239, 252, 478, 717, 956, 1434, 1673, 2151, 2868, 3346, 4302, 5019, 6692, 8604, 10038, 15057, 20076, 30114, 60228.
What is 60228 in binary?
1110101101000100 (hexadecimal EB44, octal 165504).
What is the square root of 60228?
About 245.4139, exactly 6√1673.
Is 60228 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60228?
60228 is a Harshad number: divisible by its digit sum 18.