The number 4122
4122 is a composite number with 12 divisors. Its prime factorisation is 2 × × 229. Divisors (12): 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4122: a Harshad number: divisible by its digit sum 9.
- 2
4122 is composite. Its prime factorisation is
- 3
The divisors add up to 8970; without 4122 itself that is 4848, so 4122 is abundant (4848 is more than 4122). Euler's totient φ(4122) = 1368 numbers up to 4122 share no factor with it.
- 4
The digits of 4122 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4122 = 2 \times 3^{2} \times 229 \]4122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8970 |
| Euler totient φ(n) | 1368 |
| Square | 16990884 |
| Cube | 70036423848 |
| Square root | 64.202804 (= 3√458) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.122 × |
4122 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and twenty-two |
| Binary (base 2) | 1000000011010 |
| Octal (base 8) | 10032 |
| Hexadecimal (base 16) | 101A |
| Base 3 | 12122200 |
| As time | 4122 seconds = 1 h 8 min 42 s |
Is 4122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4122 ÷ 2 = 2061) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4122 ÷ 3 = 1374) | 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 (4122 ÷ 6 = 687) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (4122 ÷ 9 = 458) | 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 8) | 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 4122 a prime number?
No. 4122 = 2 × × 229, so it is divisible by 2.
What are the factors of 4122?
1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122.
What is 4122 in binary?
1000000011010 (hexadecimal 101A, octal 10032).
What is the square root of 4122?
About 64.2028, exactly 3√458.
Is 4122 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4122?
4122 is a Harshad number: divisible by its digit sum 9.