The number 87004
87004 is a composite number with 6 divisors. Its prime factorisation is × 21751. Divisors (6): 1, 2, 4, 21751, 43502, 87004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87004: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87004 is composite. Its prime factorisation is
- 3
The divisors add up to 152264; without 87004 itself that is 65260, so 87004 is deficient (65260 is less than 87004). Euler's totient φ(87004) = 43500 numbers up to 87004 share no factor with it.
- 4
The digits of 87004 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87004 = 2^{2} \times 21751 \]87004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 152264 |
| Euler totient φ(n) | 43500 |
| Square | 7569696016 |
| Cube | 658593832176064 |
| Square root | 294.964405 (= 2√21751) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7004 × |
87004 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and four |
| Binary (base 2) | 10101001111011100 |
| Octal (base 8) | 251734 |
| Hexadecimal (base 16) | 153DC |
| Base 3 | 11102100101 |
| As time | 87004 seconds = 24 h 10 min 4 s |
Is 87004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87004 ÷ 2 = 43502) | 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 (87004 ÷ 4 = 21751) | 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 1) | 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 | 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 5) | 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 87004 a prime number?
No. 87004 = × 21751, so it is divisible by 2.
What are the factors of 87004?
1, 2, 4, 21751, 43502, 87004.
What is 87004 in binary?
10101001111011100 (hexadecimal 153DC, octal 251734).
What is the square root of 87004?
About 294.9644, exactly 2√21751.
Is 87004 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 87004?
87004 is a happy number: repeatedly adding the squares of its digits reaches 1.