The number 7122
7122 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1187. Divisors (8): 1, 2, 3, 6, 1187, 2374, 3561, 7122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7122 is composite. Its prime factorisation is
- 3
The divisors add up to 14256; without 7122 itself that is 7134, so 7122 is abundant (7134 is more than 7122). Euler's totient φ(7122) = 2372 numbers up to 7122 share no factor with it.
- 4
The digits of 7122 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7122 = 2 \times 3 \times 1187 \]
7122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14256 |
| Euler totient φ(n) | 2372 |
| Square | 50722884 |
| Cube | 361248379848 |
| Square root | 84.391943 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 7.122 × |
7122 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and twenty-two |
| Binary (base 2) | 1101111010010 |
| Octal (base 8) | 15722 |
| Hexadecimal (base 16) | 1BD2 |
| Base 3 | 100202210 |
| As time | 7122 seconds = 1 h 58 min 42 s |
Is 7122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7122 ÷ 2 = 3561) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7122 ÷ 3 = 2374) | 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 (7122 ÷ 6 = 1187) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 5) | 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 7122 a prime number?
No. 7122 = 2 × 3 × 1187, so it is divisible by 2.
What are the factors of 7122?
1, 2, 3, 6, 1187, 2374, 3561, 7122.
What is 7122 in binary?
1101111010010 (hexadecimal 1BD2, octal 15722).
What is the square root of 7122?
About 84.3919.
Is 7122 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 7122?
It is a composite number with 8 divisors.