The number 48015
48015 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 97. Divisors (24): 1, 3, 5, 9, 11, 15, 33, 45, 55, 97, 99, 165, 291, 485, 495, 873 … 48015.
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How to work it out
- 1
48015 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48015 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 48015 itself that is 43713, so 48015 is deficient (43713 is less than 48015). Euler's totient φ(48015) = 23040 numbers up to 48015 share no factor with it.
- 4
The digits of 48015 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48015 = 3^{2} \times 5 \times 11 \times 97 \]48015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 23040 |
| Square | 2305440225 |
| Cube | 110695712403375 |
| Square root | 219.123253 (= 3√5335) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8015 × |
48015 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and fifteen |
| Binary (base 2) | 1011101110001111 |
| Octal (base 8) | 135617 |
| Hexadecimal (base 16) | BB8F |
| Base 3 | 2102212100 |
| As time | 48015 seconds = 13 h 20 min 15 s |
Is 48015 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48015 ÷ 3 = 16005) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48015 ÷ 5 = 9603) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48015 ÷ 9 = 5335) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48015 ÷ 11 = 4365) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48015 a prime number?
No. 48015 = × 5 × 11 × 97, so it is divisible by 3.
What are the factors of 48015?
1, 3, 5, 9, 11, 15, 33, 45, 55, 97, 99, 165, 291, 485, 495, 873, 1067, 1455, 3201, 4365, 5335, 9603, 16005, 48015.
What is 48015 in binary?
1011101110001111 (hexadecimal BB8F, octal 135617).
What is the square root of 48015?
About 219.1233, exactly 3√5335.
Is 48015 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48015?
It is a composite number with 24 divisors.