The number 60028
60028 is a composite number with 12 divisors. Its prime factorisation is × 43 × 349. Divisors (12): 1, 2, 4, 43, 86, 172, 349, 698, 1396, 15007, 30014, 60028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60028 is composite. Its prime factorisation is
- 3
The divisors add up to 107800; without 60028 itself that is 47772, so 60028 is deficient (47772 is less than 60028). Euler's totient φ(60028) = 29232 numbers up to 60028 share no factor with it.
- 4
The digits of 60028 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60028 = 2^{2} \times 43 \times 349 \]60028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 107800 |
| Euler totient φ(n) | 29232 |
| Square | 3603360784 |
| Cube | 216302541141952 |
| Square root | 245.006122 (= 2√15007) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0028 × |
60028 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and twenty-eight |
| Binary (base 2) | 1110101001111100 |
| Octal (base 8) | 165174 |
| Hexadecimal (base 16) | EA7C |
| Base 3 | 10001100021 |
| As time | 60028 seconds = 16 h 40 min 28 s |
Is 60028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60028 ÷ 2 = 30014) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60028 ÷ 4 = 15007) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60028 a prime number?
No. 60028 = × 43 × 349, so it is divisible by 2.
What are the factors of 60028?
1, 2, 4, 43, 86, 172, 349, 698, 1396, 15007, 30014, 60028.
What is 60028 in binary?
1110101001111100 (hexadecimal EA7C, octal 165174).
What is the square root of 60028?
About 245.0061, exactly 2√15007.
Is 60028 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 60028?
It is a composite number with 12 divisors.