The number 48087
48087 is a composite number with 16 divisors. Its prime factorisation is × 13 × 137. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 137, 351, 411, 1233, 1781, 3699, 5343, 16029, 48087.
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How to work it out
- 1
What is special about 48087: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
48087 is composite. Its prime factorisation is
- 3
The divisors add up to 77280; without 48087 itself that is 29193, so 48087 is deficient (29193 is less than 48087). Euler's totient φ(48087) = 29376 numbers up to 48087 share no factor with it.
- 4
The digits of 48087 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48087 = 3^{3} \times 13 \times 137 \]48087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77280 |
| Euler totient φ(n) | 29376 |
| Square | 2312359569 |
| Cube | 111194434594503 |
| Square root | 219.287483 (= 3√5343) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8087 × |
48087 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and eighty-seven |
| Binary (base 2) | 1011101111010111 |
| Octal (base 8) | 135727 |
| Hexadecimal (base 16) | BBD7 |
| Base 3 | 2102222000 |
| As time | 48087 seconds = 13 h 21 min 27 s |
Is 48087 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 (48087 ÷ 3 = 16029) | 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 | No (remainder 2) | 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 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48087 ÷ 9 = 5343) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 48087 a prime number?
No. 48087 = × 13 × 137, so it is divisible by 3.
What are the factors of 48087?
1, 3, 9, 13, 27, 39, 117, 137, 351, 411, 1233, 1781, 3699, 5343, 16029, 48087.
What is 48087 in binary?
1011101111010111 (hexadecimal BBD7, octal 135727).
What is the square root of 48087?
About 219.2875, exactly 3√5343.
Is 48087 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48087?
48087 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.