The number 87363
87363 is a composite number with 12 divisors. Its prime factorisation is × 17 × 571. Divisors (12): 1, 3, 9, 17, 51, 153, 571, 1713, 5139, 9707, 29121, 87363.
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How to work it out
- 1
What is special about 87363: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87363 is composite. Its prime factorisation is
- 3
The divisors add up to 133848; without 87363 itself that is 46485, so 87363 is deficient (46485 is less than 87363). Euler's totient φ(87363) = 54720 numbers up to 87363 share no factor with it.
- 4
The digits of 87363 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87363 = 3^{2} \times 17 \times 571 \]87363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133848 |
| Euler totient φ(n) | 54720 |
| Square | 7632293769 |
| Cube | 666780080541147 |
| Square root | 295.572326 (= 3√9707) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7363 × |
87363 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and sixty-three |
| Binary (base 2) | 10101010101000011 |
| Octal (base 8) | 252503 |
| Hexadecimal (base 16) | 15543 |
| Base 3 | 11102211200 |
| As time | 87363 seconds = 24 h 16 min 3 s |
Is 87363 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87363 ÷ 3 = 29121) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87363 ÷ 9 = 9707) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87363 a prime number?
No. 87363 = × 17 × 571, so it is divisible by 3.
What are the factors of 87363?
1, 3, 9, 17, 51, 153, 571, 1713, 5139, 9707, 29121, 87363.
What is 87363 in binary?
10101010101000011 (hexadecimal 15543, octal 252503).
What is the square root of 87363?
About 295.5723, exactly 3√9707.
Is 87363 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87363?
87363 is a happy number: repeatedly adding the squares of its digits reaches 1.