The number 2122
2122 is a composite number with 4 divisors. Its prime factorisation is 2 × 1061. Divisors (4): 1, 2, 1061, 2122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2122: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1061, the product of two primes.
- 2
2122 is composite. Its prime factorisation is
- 3
The divisors add up to 3186; without 2122 itself that is 1064, so 2122 is deficient (1064 is less than 2122). Euler's totient φ(2122) = 1060 numbers up to 2122 share no factor with it.
- 4
The digits of 2122 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2122 = 2 \times 1061 \]
2122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3186 |
| Euler totient φ(n) | 1060 |
| Square | 4502884 |
| Cube | 9555119848 |
| Square root | 46.065171 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 2.122 × |
2122 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and twenty-two |
| Roman numerals | MMCXXII |
| Binary (base 2) | 100001001010 |
| Octal (base 8) | 4112 |
| Hexadecimal (base 16) | 84A |
| Base 3 | 2220121 |
| As time | 2122 seconds = 35 min 22 s |
Is 2122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2122 ÷ 2 = 1061) | 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 1) | 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 7) | 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 10) | 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 2122 a prime number?
No. 2122 = 2 × 1061, so it is divisible by 2.
What are the factors of 2122?
1, 2, 1061, 2122.
What is 2122 in binary?
100001001010 (hexadecimal 84A, octal 4112).
What is the square root of 2122?
About 46.0652.
What is 2122 in Roman numerals?
MMCXXII.
Is 2122 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 2122?
2122 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1061, the product of two primes.