The number 60048
60048 is a composite number with 40 divisors. Its prime factorisation is × × 139. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72 … 60048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60048: a Harshad number: divisible by its digit sum 18.
- 2
60048 is composite. Its prime factorisation is
- 3
The divisors add up to 173600; without 60048 itself that is 113552, so 60048 is abundant (113552 is more than 60048). Euler's totient φ(60048) = 19872 numbers up to 60048 share no factor with it.
- 4
The digits of 60048 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60048 = 2^{4} \times 3^{3} \times 139 \]60048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 173600 |
| Euler totient φ(n) | 19872 |
| Square | 3605762304 |
| Cube | 216518814830592 |
| Square root | 245.046934 (= 12√417) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0048 × |
60048 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and forty-eight |
| Binary (base 2) | 1110101010010000 |
| Octal (base 8) | 165220 |
| Hexadecimal (base 16) | EA90 |
| Base 3 | 10001101000 |
| As time | 60048 seconds = 16 h 40 min 48 s |
Is 60048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60048 ÷ 2 = 30024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60048 ÷ 3 = 20016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60048 ÷ 4 = 15012) | 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 (60048 ÷ 6 = 10008) | 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 | Yes (60048 ÷ 8 = 7506) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60048 ÷ 9 = 6672) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60048 ÷ 12 = 5004) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60048 a prime number?
No. 60048 = × × 139, so it is divisible by 2.
What are the factors of 60048?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 139, 144, 216, 278, 417, 432, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 3753, 5004, 6672, 7506, 10008, 15012, 20016, 30024, 60048.
What is 60048 in binary?
1110101010010000 (hexadecimal EA90, octal 165220).
What is the square root of 60048?
About 245.0469, exactly 12√417.
Is 60048 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60048?
60048 is a Harshad number: divisible by its digit sum 18.