The number 3220
3220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 23. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140 … 3220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3220: a Harshad number: divisible by its digit sum 7.
- 2
3220 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 3220 itself that is 4844, so 3220 is abundant (4844 is more than 3220). Euler's totient φ(3220) = 1056 numbers up to 3220 share no factor with it.
- 4
The digits of 3220 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3220 = 2^{2} \times 5 \times 7 \times 23 \]3220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 1056 |
| Square | 10368400 |
| Cube | 33386248000 |
| Square root | 56.745044 (= 2√805) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.22 × |
3220 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twenty |
| Roman numerals | MMMCCXX |
| Binary (base 2) | 110010010100 |
| Octal (base 8) | 6224 |
| Hexadecimal (base 16) | C94 |
| Base 3 | 11102021 |
| As time | 3220 seconds = 53 min 40 s |
Is 3220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3220 ÷ 2 = 1610) | 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 (3220 ÷ 4 = 805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3220 ÷ 5 = 644) | 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 | Yes (3220 ÷ 7 = 460) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3220 ÷ 10 = 322) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3220 a prime number?
No. 3220 = × 5 × 7 × 23, so it is divisible by 2.
What are the factors of 3220?
1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220.
What is 3220 in binary?
110010010100 (hexadecimal C94, octal 6224).
What is the square root of 3220?
About 56.7450, exactly 2√805.
What is 3220 in Roman numerals?
MMMCCXX.
Is 3220 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 3220?
3220 is a Harshad number: divisible by its digit sum 7.