The number 4220
4220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 211. Divisors (12): 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4220 is composite. Its prime factorisation is
- 3
The divisors add up to 8904; without 4220 itself that is 4684, so 4220 is abundant (4684 is more than 4220). Euler's totient φ(4220) = 1680 numbers up to 4220 share no factor with it.
- 4
The digits of 4220 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4220 = 2^{2} \times 5 \times 211 \]4220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8904 |
| Euler totient φ(n) | 1680 |
| Square | 17808400 |
| Cube | 75151448000 |
| Square root | 64.961527 (= 2√1055) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 170 |
| Scientific notation | 4.22 × |
4220 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and twenty |
| Binary (base 2) | 1000001111100 |
| Octal (base 8) | 10174 |
| Hexadecimal (base 16) | 107C |
| Base 3 | 12210022 |
| As time | 4220 seconds = 1 h 10 min 20 s |
Is 4220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4220 ÷ 2 = 2110) | 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 | Yes (4220 ÷ 4 = 1055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4220 ÷ 5 = 844) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4220 ÷ 10 = 422) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4220 a prime number?
No. 4220 = × 5 × 211, so it is divisible by 2.
What are the factors of 4220?
1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220.
What is 4220 in binary?
1000001111100 (hexadecimal 107C, octal 10174).
What is the square root of 4220?
About 64.9615, exactly 2√1055.
Is 4220 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 4220?
It is a composite number with 12 divisors.