The number 87763
87763 is a composite number with 8 divisors. Its prime factorisation is 13 × 43 × 157. Divisors (8): 1, 13, 43, 157, 559, 2041, 6751, 87763.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87763 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87763 is composite. Its prime factorisation is
- 3
The divisors add up to 97328; without 87763 itself that is 9565, so 87763 is deficient (9565 is less than 87763). Euler's totient φ(87763) = 78624 numbers up to 87763 share no factor with it.
- 4
The digits of 87763 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87763 = 13 \times 43 \times 157 \]
87763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 97328 |
| Euler totient φ(n) | 78624 |
| Square | 7702344169 |
| Cube | 675980831303947 |
| Square root | 296.248207 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7763 × |
87763 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and sixty-three |
| Binary (base 2) | 10101011011010011 |
| Octal (base 8) | 253323 |
| Hexadecimal (base 16) | 156D3 |
| Base 3 | 11110101111 |
| As time | 87763 seconds = 24 h 22 min 43 s |
Is 87763 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 | No (remainder 1) | 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 1) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87763 a prime number?
No. 87763 = 13 × 43 × 157, so it is divisible by 13.
What are the factors of 87763?
1, 13, 43, 157, 559, 2041, 6751, 87763.
What is 87763 in binary?
10101011011010011 (hexadecimal 156D3, octal 253323).
What is the square root of 87763?
About 296.2482.
Is 87763 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 87763?
It is a composite number with 8 divisors.