The number 87904
87904 is a composite number with 24 divisors. Its prime factorisation is × 41 × 67. Divisors (24): 1, 2, 4, 8, 16, 32, 41, 67, 82, 134, 164, 268, 328, 536, 656, 1072 … 87904.
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How to work it out
- 1
87904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87904 is composite. Its prime factorisation is
- 3
The divisors add up to 179928; without 87904 itself that is 92024, so 87904 is abundant (92024 is more than 87904). Euler's totient φ(87904) = 42240 numbers up to 87904 share no factor with it.
- 4
The digits of 87904 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87904 = 2^{5} \times 41 \times 67 \]87904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 179928 |
| Euler totient φ(n) | 42240 |
| Square | 7727113216 |
| Cube | 679244160139264 |
| Square root | 296.486087 (= 4√5494) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7904 × |
87904 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and four |
| Binary (base 2) | 10101011101100000 |
| Octal (base 8) | 253540 |
| Hexadecimal (base 16) | 15760 |
| Base 3 | 11110120201 |
| As time | 87904 seconds = 24 h 25 min 4 s |
Is 87904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87904 ÷ 2 = 43952) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87904 ÷ 4 = 21976) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (87904 ÷ 8 = 10988) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87904 a prime number?
No. 87904 = × 41 × 67, so it is divisible by 2.
What are the factors of 87904?
1, 2, 4, 8, 16, 32, 41, 67, 82, 134, 164, 268, 328, 536, 656, 1072, 1312, 2144, 2747, 5494, 10988, 21976, 43952, 87904.
What is 87904 in binary?
10101011101100000 (hexadecimal 15760, octal 253540).
What is the square root of 87904?
About 296.4861, exactly 4√5494.
Is 87904 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87904?
It is a composite number with 24 divisors.