The number 87967
87967 is a composite number with 6 divisors. Its prime factorisation is Ć 727. Divisors (6): 1, 11, 121, 727, 7997, 87967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87967 is composite. Its prime factorisation is
- 3
The divisors add up to 96824; without 87967 itself that is 8857, so 87967 is deficient (8857 is less than 87967). Euler's totient Ļ(87967) = 79860 numbers up to 87967 share no factor with it.
- 4
The digits of 87967 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87967 = 11^{2} \times 727 \]87967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 96824 |
| Euler totient Ļ(n) | 79860 |
| Square | 7738193089 |
| Cube | 680705631460063 |
| Square root | 296.592313 (= 11ā727) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 8.7967 Ć |
87967 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and sixty-seven |
| Binary (base 2) | 10101011110011111 |
| Octal (base 8) | 253637 |
| Hexadecimal (base 16) | 1579F |
| Base 3 | 11110200001 |
| As time | 87967 seconds = 24 h 26 min 7 s |
Is 87967 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 2) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87967 Ć· 11 = 7997) | 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 87967 a prime number?
No. 87967 = Ć 727, so it is divisible by 11.
What are the factors of 87967?
1, 11, 121, 727, 7997, 87967.
What is 87967 in binary?
10101011110011111 (hexadecimal 1579F, octal 253637).
What is the square root of 87967?
About 296.5923, exactly 11ā727.
Is 87967 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 87967?
It is a composite number with 6 divisors.