The number 60020
60020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3001. Divisors (12): 1, 2, 4, 5, 10, 20, 3001, 6002, 12004, 15005, 30010, 60020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60020 is composite. Its prime factorisation is
- 3
The divisors add up to 126084; without 60020 itself that is 66064, so 60020 is abundant (66064 is more than 60020). Euler's totient φ(60020) = 24000 numbers up to 60020 share no factor with it.
- 4
The digits of 60020 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60020 = 2^{2} \times 5 \times 3001 \]60020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126084 |
| Euler totient φ(n) | 24000 |
| Square | 3602400400 |
| Cube | 216216072008000 |
| Square root | 244.989796 (= 2√15005) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.002 × |
60020 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and twenty |
| Binary (base 2) | 1110101001110100 |
| Octal (base 8) | 165164 |
| Hexadecimal (base 16) | EA74 |
| Base 3 | 10001022222 |
| As time | 60020 seconds = 16 h 40 min 20 s |
Is 60020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60020 ÷ 2 = 30010) | 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 (60020 ÷ 4 = 15005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60020 ÷ 5 = 12004) | 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 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 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 (60020 ÷ 10 = 6002) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 60020 a prime number?
No. 60020 = × 5 × 3001, so it is divisible by 2.
What are the factors of 60020?
1, 2, 4, 5, 10, 20, 3001, 6002, 12004, 15005, 30010, 60020.
What is 60020 in binary?
1110101001110100 (hexadecimal EA74, octal 165164).
What is the square root of 60020?
About 244.9898, exactly 2√15005.
Is 60020 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 60020?
It is a composite number with 12 divisors.