The number 87504
87504 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1823. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1823, 3646, 5469, 7292, 10938, 14584 … 87504.
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How to work it out
- 1
What is special about 87504: a Harshad number: divisible by its digit sum 24.
- 2
87504 is composite. Its prime factorisation is
- 3
The divisors add up to 226176; without 87504 itself that is 138672, so 87504 is abundant (138672 is more than 87504). Euler's totient φ(87504) = 29152 numbers up to 87504 share no factor with it.
- 4
The digits of 87504 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87504 = 2^{4} \times 3 \times 1823 \]87504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 226176 |
| Euler totient φ(n) | 29152 |
| Square | 7656950016 |
| Cube | 670013754200064 |
| Square root | 295.810750 (= 4√5469) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7504 × |
87504 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and four |
| Binary (base 2) | 10101010111010000 |
| Octal (base 8) | 252720 |
| Hexadecimal (base 16) | 155D0 |
| Base 3 | 11110000220 |
| As time | 87504 seconds = 24 h 18 min 24 s |
Is 87504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87504 ÷ 2 = 43752) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87504 ÷ 3 = 29168) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87504 ÷ 4 = 21876) | 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 (87504 ÷ 6 = 14584) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (87504 ÷ 8 = 10938) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87504 ÷ 12 = 7292) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87504 a prime number?
No. 87504 = × 3 × 1823, so it is divisible by 2.
What are the factors of 87504?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1823, 3646, 5469, 7292, 10938, 14584, 21876, 29168, 43752, 87504.
What is 87504 in binary?
10101010111010000 (hexadecimal 155D0, octal 252720).
What is the square root of 87504?
About 295.8108, exactly 4√5469.
Is 87504 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87504?
87504 is a Harshad number: divisible by its digit sum 24.