The number 8122
8122 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 131. Divisors (8): 1, 2, 31, 62, 131, 262, 4061, 8122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8122 is composite. Its prime factorisation is
- 3
The divisors add up to 12672; without 8122 itself that is 4550, so 8122 is deficient (4550 is less than 8122). Euler's totient φ(8122) = 3900 numbers up to 8122 share no factor with it.
- 4
The digits of 8122 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8122 = 2 \times 31 \times 131 \]
8122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12672 |
| Euler totient φ(n) | 3900 |
| Square | 65966884 |
| Cube | 535783031848 |
| Square root | 90.122139 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.122 × |
8122 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and twenty-two |
| Binary (base 2) | 1111110111010 |
| Octal (base 8) | 17672 |
| Hexadecimal (base 16) | 1FBA |
| Base 3 | 102010211 |
| As time | 8122 seconds = 2 h 15 min 22 s |
Is 8122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8122 ÷ 2 = 4061) | 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 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8122 a prime number?
No. 8122 = 2 × 31 × 131, so it is divisible by 2.
What are the factors of 8122?
1, 2, 31, 62, 131, 262, 4061, 8122.
What is 8122 in binary?
1111110111010 (hexadecimal 1FBA, octal 17672).
What is the square root of 8122?
About 90.1221.
Is 8122 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8122?
It is a composite number with 8 divisors.