The number 87723
87723 is a composite number with 18 divisors. Its prime factorisation is × . Divisors (18): 1, 3, 9, 19, 27, 57, 81, 171, 243, 361, 513, 1083, 1539, 3249, 4617, 9747 … 87723.
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How to work it out
- 1
What is special about 87723: a Harshad number: divisible by its digit sum 27.
- 2
87723 is composite. Its prime factorisation is
- 3
The divisors add up to 138684; without 87723 itself that is 50961, so 87723 is deficient (50961 is less than 87723). Euler's totient φ(87723) = 55404 numbers up to 87723 share no factor with it.
- 4
The digits of 87723 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 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87723 = 3^{5} \times 19^{2} \]87723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 138684 |
| Euler totient φ(n) | 55404 |
| Square | 7695324729 |
| Cube | 675056971202067 |
| Square root | 296.180688 (= 171√3) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.7723 × |
87723 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and twenty-three |
| Binary (base 2) | 10101011010101011 |
| Octal (base 8) | 253253 |
| Hexadecimal (base 16) | 156AB |
| Base 3 | 11110100000 |
| As time | 87723 seconds = 24 h 22 min 3 s |
Is 87723 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 (87723 ÷ 3 = 29241) | 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 6) | 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 (87723 ÷ 9 = 9747) | 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 9) | 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 87723 a prime number?
No. 87723 = × , so it is divisible by 3.
What are the factors of 87723?
1, 3, 9, 19, 27, 57, 81, 171, 243, 361, 513, 1083, 1539, 3249, 4617, 9747, 29241, 87723.
What is 87723 in binary?
10101011010101011 (hexadecimal 156AB, octal 253253).
What is the square root of 87723?
About 296.1807, exactly 171√3.
Is 87723 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87723?
87723 is a Harshad number: divisible by its digit sum 27.