The number 87804
87804 is a composite number with 30 divisors. Its prime factorisation is × × 271. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 271, 324 … 87804.
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How to work it out
- 1
What is special about 87804: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
87804 is composite. Its prime factorisation is
- 3
The divisors add up to 230384; without 87804 itself that is 142580, so 87804 is abundant (142580 is more than 87804). Euler's totient φ(87804) = 29160 numbers up to 87804 share no factor with it.
- 4
The digits of 87804 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87804 = 2^{2} \times 3^{4} \times 271 \]87804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 230384 |
| Euler totient φ(n) | 29160 |
| Square | 7709542416 |
| Cube | 676928662294464 |
| Square root | 296.317397 (= 18√271) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7804 × |
87804 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and four |
| Binary (base 2) | 10101011011111100 |
| Octal (base 8) | 253374 |
| Hexadecimal (base 16) | 156FC |
| Base 3 | 11110110000 |
| As time | 87804 seconds = 24 h 23 min 24 s |
Is 87804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87804 ÷ 2 = 43902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87804 ÷ 3 = 29268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87804 ÷ 4 = 21951) | 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 | Yes (87804 ÷ 6 = 14634) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87804 ÷ 9 = 9756) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87804 ÷ 12 = 7317) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87804 a prime number?
No. 87804 = × × 271, so it is divisible by 2.
What are the factors of 87804?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 271, 324, 542, 813, 1084, 1626, 2439, 3252, 4878, 7317, 9756, 14634, 21951, 29268, 43902, 87804.
What is 87804 in binary?
10101011011111100 (hexadecimal 156FC, octal 253374).
What is the square root of 87804?
About 296.3174, exactly 18√271.
Is 87804 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87804?
87804 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.