The number 87552
87552 is a composite number with 60 divisors. Its prime factorisation is × × 19. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48 … 87552.
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How to work it out
- 1
What is special about 87552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87552 is composite. Its prime factorisation is
- 3
The divisors add up to 265980; without 87552 itself that is 178428, so 87552 is abundant (178428 is more than 87552). Euler's totient φ(87552) = 27648 numbers up to 87552 share no factor with it.
- 4
The digits of 87552 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87552 = 2^{9} \times 3^{2} \times 19 \]87552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 265980 |
| Euler totient φ(n) | 27648 |
| Square | 7665352704 |
| Cube | 671116959940608 |
| Square root | 295.891872 (= 48√38) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7552 × |
87552 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and fifty-two |
| Binary (base 2) | 10101011000000000 |
| Octal (base 8) | 253000 |
| Hexadecimal (base 16) | 15600 |
| Base 3 | 11110002200 |
| As time | 87552 seconds = 24 h 19 min 12 s |
Is 87552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87552 ÷ 2 = 43776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87552 ÷ 3 = 29184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87552 ÷ 4 = 21888) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87552 ÷ 6 = 14592) | 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 (87552 ÷ 8 = 10944) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87552 ÷ 9 = 9728) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (87552 ÷ 12 = 7296) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87552 a prime number?
No. 87552 = × × 19, so it is divisible by 2.
What are the factors of 87552?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 64, 72, 76, 96, 114, 128, 144, 152, 171, 192, 228, 256, 288, 304, 342, 384, 456, 512, 576, 608, 684, 768, 912, 1152, 1216, 1368, 1536, 1824, 2304, 2432, 2736, 3648, 4608, 4864, 5472, 7296, 9728, 10944, 14592, 21888, 29184, 43776, 87552.
What is 87552 in binary?
10101011000000000 (hexadecimal 15600, octal 253000).
What is the square root of 87552?
About 295.8919, exactly 48√38.
Is 87552 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87552?
87552 is a happy number: repeatedly adding the squares of its digits reaches 1.