The number 48360
48360 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 13 × 31. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 31 … 48360.
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How to work it out
- 1
48360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48360 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 48360 itself that is 112920, so 48360 is abundant (112920 is more than 48360). Euler's totient φ(48360) = 11520 numbers up to 48360 share no factor with it.
- 4
The digits of 48360 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48360 = 2^{3} \times 3 \times 5 \times 13 \times 31 \]48360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 11520 |
| Square | 2338689600 |
| Cube | 113099029056000 |
| Square root | 219.909072 (= 2√12090) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.836 × |
48360 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and sixty |
| Binary (base 2) | 1011110011101000 |
| Octal (base 8) | 136350 |
| Hexadecimal (base 16) | BCE8 |
| Base 3 | 2110100010 |
| As time | 48360 seconds = 13 h 26 min 0 s |
Is 48360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48360 ÷ 2 = 24180) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48360 ÷ 3 = 16120) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48360 ÷ 4 = 12090) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48360 ÷ 5 = 9672) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48360 ÷ 6 = 8060) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (48360 ÷ 8 = 6045) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48360 ÷ 10 = 4836) | 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 | Yes (48360 ÷ 12 = 4030) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48360 a prime number?
No. 48360 = × 3 × 5 × 13 × 31, so it is divisible by 2.
What are the factors of 48360?
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 31, 39, 40, 52, 60, 62, 65, 78, 93, 104, 120, 124, 130, 155, 156, 186, 195, 248, 260, 310, 312, 372, 390, 403, 465, 520, 620, 744, 780, 806, 930, 1209, 1240, 1560, 1612, 1860, 2015, 2418, 3224, 3720, 4030, 4836, 6045, 8060, 9672, 12090, 16120, 24180, 48360.
What is 48360 in binary?
1011110011101000 (hexadecimal BCE8, octal 136350).
What is the square root of 48360?
About 219.9091, exactly 2√12090.
Is 48360 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48360?
It is a composite number with 64 divisors.