The number 87122
87122 is a composite number with 16 divisors. Its prime factorisation is 2 × × 127. Divisors (16): 1, 2, 7, 14, 49, 98, 127, 254, 343, 686, 889, 1778, 6223, 12446, 43561, 87122.
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How to work it out
- 1
87122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87122 is composite. Its prime factorisation is
- 3
The divisors add up to 153600; without 87122 itself that is 66478, so 87122 is deficient (66478 is less than 87122). Euler's totient φ(87122) = 37044 numbers up to 87122 share no factor with it.
- 4
The digits of 87122 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87122 = 2 \times 7^{3} \times 127 \]87122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153600 |
| Euler totient φ(n) | 37044 |
| Square | 7590242884 |
| Cube | 661277140539848 |
| Square root | 295.164361 (= 7√1778) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 177 |
| Scientific notation | 8.7122 × |
87122 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and twenty-two |
| Binary (base 2) | 10101010001010010 |
| Octal (base 8) | 252122 |
| Hexadecimal (base 16) | 15452 |
| Base 3 | 11102111202 |
| As time | 87122 seconds = 24 h 12 min 2 s |
Is 87122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87122 ÷ 2 = 43561) | 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 | Yes (87122 ÷ 7 = 12446) | 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 2) | 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 87122 a prime number?
No. 87122 = 2 × × 127, so it is divisible by 2.
What are the factors of 87122?
1, 2, 7, 14, 49, 98, 127, 254, 343, 686, 889, 1778, 6223, 12446, 43561, 87122.
What is 87122 in binary?
10101010001010010 (hexadecimal 15452, octal 252122).
What is the square root of 87122?
About 295.1644, exactly 7√1778.
Is 87122 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 87122?
It is a composite number with 16 divisors.