The number 87996
87996 is a composite number with 12 divisors. Its prime factorisation is × 3 × 7333. Divisors (12): 1, 2, 3, 4, 6, 12, 7333, 14666, 21999, 29332, 43998, 87996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87996 is composite. Its prime factorisation is
- 3
The divisors add up to 205352; without 87996 itself that is 117356, so 87996 is abundant (117356 is more than 87996). Euler's totient φ(87996) = 29328 numbers up to 87996 share no factor with it.
- 4
The digits of 87996 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87996 = 2^{2} \times 3 \times 7333 \]87996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 205352 |
| Euler totient φ(n) | 29328 |
| Square | 7743296016 |
| Cube | 681379076223936 |
| Square root | 296.641197 (= 2√21999) |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7996 × |
87996 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and ninety-six |
| Binary (base 2) | 10101011110111100 |
| Octal (base 8) | 253674 |
| Hexadecimal (base 16) | 157BC |
| Base 3 | 11110201010 |
| As time | 87996 seconds = 24 h 26 min 36 s |
Is 87996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87996 ÷ 2 = 43998) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87996 ÷ 3 = 29332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87996 ÷ 4 = 21999) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87996 ÷ 6 = 14666) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87996 ÷ 12 = 7333) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87996 a prime number?
No. 87996 = × 3 × 7333, so it is divisible by 2.
What are the factors of 87996?
1, 2, 3, 4, 6, 12, 7333, 14666, 21999, 29332, 43998, 87996.
What is 87996 in binary?
10101011110111100 (hexadecimal 157BC, octal 253674).
What is the square root of 87996?
About 296.6412, exactly 2√21999.
Is 87996 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 87996?
It is a composite number with 12 divisors.