The number 87048
87048 is a composite number with 64 divisors. Its prime factorisation is × × 13 × 31. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 31, 36, 39 … 87048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87048: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
87048 is composite. Its prime factorisation is
- 3
The divisors add up to 268800; without 87048 itself that is 181752, so 87048 is abundant (181752 is more than 87048). Euler's totient φ(87048) = 25920 numbers up to 87048 share no factor with it.
- 4
The digits of 87048 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87048 = 2^{3} \times 3^{3} \times 13 \times 31 \]87048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 268800 |
| Euler totient φ(n) | 25920 |
| Square | 7577354304 |
| Cube | 659593537454592 |
| Square root | 295.038980 (= 6√2418) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.7048 × |
87048 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and forty-eight |
| Binary (base 2) | 10101010000001000 |
| Octal (base 8) | 252010 |
| Hexadecimal (base 16) | 15408 |
| Base 3 | 11102102000 |
| As time | 87048 seconds = 24 h 10 min 48 s |
Is 87048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87048 ÷ 2 = 43524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87048 ÷ 3 = 29016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87048 ÷ 4 = 21762) | 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 (87048 ÷ 6 = 14508) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (87048 ÷ 8 = 10881) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87048 ÷ 9 = 9672) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87048 ÷ 12 = 7254) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87048 a prime number?
No. 87048 = × × 13 × 31, so it is divisible by 2.
What are the factors of 87048?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 31, 36, 39, 52, 54, 62, 72, 78, 93, 104, 108, 117, 124, 156, 186, 216, 234, 248, 279, 312, 351, 372, 403, 468, 558, 702, 744, 806, 837, 936, 1116, 1209, 1404, 1612, 1674, 2232, 2418, 2808, 3224, 3348, 3627, 4836, 6696, 7254, 9672, 10881, 14508, 21762, 29016, 43524, 87048.
What is 87048 in binary?
10101010000001000 (hexadecimal 15408, octal 252010).
What is the square root of 87048?
About 295.0390, exactly 6√2418.
Is 87048 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87048?
87048 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.