The number 48060
48060 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 89. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 48060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48060: a Harshad number: divisible by its digit sum 18.
- 2
48060 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 48060 itself that is 103140, so 48060 is abundant (103140 is more than 48060). Euler's totient φ(48060) = 12672 numbers up to 48060 share no factor with it.
- 4
The digits of 48060 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48060 = 2^{2} \times 3^{3} \times 5 \times 89 \]48060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 12672 |
| Square | 2309763600 |
| Cube | 111007238616000 |
| Square root | 219.225911 (= 6√1335) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.806 × |
48060 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and sixty |
| Binary (base 2) | 1011101110111100 |
| Octal (base 8) | 135674 |
| Hexadecimal (base 16) | BBBC |
| Base 3 | 2102221000 |
| As time | 48060 seconds = 13 h 21 min 0 s |
Is 48060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48060 ÷ 2 = 24030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48060 ÷ 3 = 16020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48060 ÷ 4 = 12015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48060 ÷ 5 = 9612) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48060 ÷ 6 = 8010) | 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 | Yes (48060 ÷ 9 = 5340) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48060 ÷ 10 = 4806) | 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 | Yes (48060 ÷ 12 = 4005) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48060 a prime number?
No. 48060 = × × 5 × 89, so it is divisible by 2.
What are the factors of 48060?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 89, 90, 108, 135, 178, 180, 267, 270, 356, 445, 534, 540, 801, 890, 1068, 1335, 1602, 1780, 2403, 2670, 3204, 4005, 4806, 5340, 8010, 9612, 12015, 16020, 24030, 48060.
What is 48060 in binary?
1011101110111100 (hexadecimal BBBC, octal 135674).
What is the square root of 48060?
About 219.2259, exactly 6√1335.
Is 48060 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48060?
48060 is a Harshad number: divisible by its digit sum 18.