The number 87842
87842 is a composite number with 8 divisors. Its prime factorisation is 2 × 167 × 263. Divisors (8): 1, 2, 167, 263, 334, 526, 43921, 87842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87842 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 87842 itself that is 45214, so 87842 is deficient (45214 is less than 87842). Euler's totient φ(87842) = 43492 numbers up to 87842 share no factor with it.
- 4
The digits of 87842 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87842 = 2 \times 167 \times 263 \]
87842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 43492 |
| Square | 7716216964 |
| Cube | 677807930551688 |
| Square root | 296.381511 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7842 × |
87842 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and forty-two |
| Binary (base 2) | 10101011100100010 |
| Octal (base 8) | 253442 |
| Hexadecimal (base 16) | 15722 |
| Base 3 | 11110111102 |
| As time | 87842 seconds = 24 h 24 min 2 s |
Is 87842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87842 ÷ 2 = 43921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87842 a prime number?
No. 87842 = 2 × 167 × 263, so it is divisible by 2.
What are the factors of 87842?
1, 2, 167, 263, 334, 526, 43921, 87842.
What is 87842 in binary?
10101011100100010 (hexadecimal 15722, octal 253442).
What is the square root of 87842?
About 296.3815.
Is 87842 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 87842?
It is a composite number with 8 divisors.