The number 87104
87104 is a composite number with 14 divisors. Its prime factorisation is × 1361. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1361, 2722, 5444, 10888, 21776, 43552, 87104.
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How to work it out
- 1
What is special about 87104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87104 is composite. Its prime factorisation is
- 3
The divisors add up to 172974; without 87104 itself that is 85870, so 87104 is deficient (85870 is less than 87104). Euler's totient φ(87104) = 43520 numbers up to 87104 share no factor with it.
- 4
The digits of 87104 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87104 = 2^{6} \times 1361 \]87104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 172974 |
| Euler totient φ(n) | 43520 |
| Square | 7587106816 |
| Cube | 660867352100864 |
| Square root | 295.133868 (= 8√1361) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7104 × |
87104 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and four |
| Binary (base 2) | 10101010001000000 |
| Octal (base 8) | 252100 |
| Hexadecimal (base 16) | 15440 |
| Base 3 | 11102111002 |
| As time | 87104 seconds = 24 h 11 min 44 s |
Is 87104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87104 ÷ 2 = 43552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87104 ÷ 4 = 21776) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (87104 ÷ 8 = 10888) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87104 a prime number?
No. 87104 = × 1361, so it is divisible by 2.
What are the factors of 87104?
1, 2, 4, 8, 16, 32, 64, 1361, 2722, 5444, 10888, 21776, 43552, 87104.
What is 87104 in binary?
10101010001000000 (hexadecimal 15440, octal 252100).
What is the square root of 87104?
About 295.1339, exactly 8√1361.
Is 87104 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 87104?
87104 is a happy number: repeatedly adding the squares of its digits reaches 1.