The number 87162
87162 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 73 × 199. Divisors (16): 1, 2, 3, 6, 73, 146, 199, 219, 398, 438, 597, 1194, 14527, 29054, 43581, 87162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87162 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87162 is composite. Its prime factorisation is
- 3
The divisors add up to 177600; without 87162 itself that is 90438, so 87162 is abundant (90438 is more than 87162). Euler's totient φ(87162) = 28512 numbers up to 87162 share no factor with it.
- 4
The digits of 87162 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87162 = 2 \times 3 \times 73 \times 199 \]
87162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 177600 |
| Euler totient φ(n) | 28512 |
| Square | 7597214244 |
| Cube | 662188387935528 |
| Square root | 295.232112 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7162 × |
87162 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and sixty-two |
| Binary (base 2) | 10101010001111010 |
| Octal (base 8) | 252172 |
| Hexadecimal (base 16) | 1547A |
| Base 3 | 11102120020 |
| As time | 87162 seconds = 24 h 12 min 42 s |
Is 87162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87162 ÷ 2 = 43581) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87162 ÷ 3 = 29054) | 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 | Yes (87162 ÷ 6 = 14527) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87162 a prime number?
No. 87162 = 2 × 3 × 73 × 199, so it is divisible by 2.
What are the factors of 87162?
1, 2, 3, 6, 73, 146, 199, 219, 398, 438, 597, 1194, 14527, 29054, 43581, 87162.
What is 87162 in binary?
10101010001111010 (hexadecimal 1547A, octal 252172).
What is the square root of 87162?
About 295.2321.
Is 87162 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87162?
It is a composite number with 16 divisors.