The number 6220
6220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 311. Divisors (12): 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6220: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
6220 is composite. Its prime factorisation is
- 3
The divisors add up to 13104; without 6220 itself that is 6884, so 6220 is abundant (6884 is more than 6220). Euler's totient φ(6220) = 2480 numbers up to 6220 share no factor with it.
- 4
The digits of 6220 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6220 = 2^{2} \times 5 \times 311 \]6220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13104 |
| Euler totient φ(n) | 2480 |
| Square | 38688400 |
| Cube | 240641848000 |
| Square root | 78.866977 (= 2√1555) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.22 × |
6220 in other forms
| Form | Value |
|---|---|
| In words | six thousand two hundred and twenty |
| Binary (base 2) | 1100001001100 |
| Octal (base 8) | 14114 |
| Hexadecimal (base 16) | 184C |
| Base 3 | 22112101 |
| As time | 6220 seconds = 1 h 43 min 40 s |
Is 6220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6220 ÷ 2 = 3110) | 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 | Yes (6220 ÷ 4 = 1555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6220 ÷ 5 = 1244) | 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 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6220 ÷ 10 = 622) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6220 a prime number?
No. 6220 = × 5 × 311, so it is divisible by 2.
What are the factors of 6220?
1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220.
What is 6220 in binary?
1100001001100 (hexadecimal 184C, octal 14114).
What is the square root of 6220?
About 78.8670, exactly 2√1555.
Is 6220 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 6220?
6220 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.