The number 87997
87997 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 967. Divisors (8): 1, 7, 13, 91, 967, 6769, 12571, 87997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87997 is composite. Its prime factorisation is
- 3
The divisors add up to 108416; without 87997 itself that is 20419, so 87997 is deficient (20419 is less than 87997). Euler's totient φ(87997) = 69552 numbers up to 87997 share no factor with it.
- 4
The digits of 87997 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87997 = 7 \times 13 \times 967 \]
87997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108416 |
| Euler totient φ(n) | 69552 |
| Square | 7743472009 |
| Cube | 681402306375973 |
| Square root | 296.642883 |
| Digit sum / digital root | 40 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7997 × |
87997 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and ninety-seven |
| Binary (base 2) | 10101011110111101 |
| Octal (base 8) | 253675 |
| Hexadecimal (base 16) | 157BD |
| Base 3 | 11110201011 |
| As time | 87997 seconds = 24 h 26 min 37 s |
Is 87997 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 1) | 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 | Yes (87997 ÷ 7 = 12571) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87997 a prime number?
No. 87997 = 7 × 13 × 967, so it is divisible by 7.
What are the factors of 87997?
1, 7, 13, 91, 967, 6769, 12571, 87997.
What is 87997 in binary?
10101011110111101 (hexadecimal 157BD, octal 253675).
What is the square root of 87997?
About 296.6429.
Is 87997 divisible by 3?
No. Its digits add up to 40, which is not a multiple of 3.
What is special about the number 87997?
It is a composite number with 8 divisors.