The number 3388
3388 is a composite number with 18 divisors. Its prime factorisation is × 7 × . Divisors (18): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847 … 3388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3388: a Harshad number: divisible by its digit sum 22.
- 2
3388 is composite. Its prime factorisation is
- 3
The divisors add up to 7448; without 3388 itself that is 4060, so 3388 is abundant (4060 is more than 3388). Euler's totient φ(3388) = 1320 numbers up to 3388 share no factor with it.
- 4
The digits of 3388 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3388 = 2^{2} \times 7 \times 11^{2} \]3388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 7448 |
| Euler totient φ(n) | 1320 |
| Square | 11478544 |
| Cube | 38889307072 |
| Square root | 58.206529 (= 22√7) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.388 × |
3388 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eighty-eight |
| Roman numerals | MMMCCCLXXXVIII |
| Binary (base 2) | 110100111100 |
| Octal (base 8) | 6474 |
| Hexadecimal (base 16) | D3C |
| Base 3 | 11122111 |
| As time | 3388 seconds = 56 min 28 s |
Is 3388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3388 ÷ 2 = 1694) | 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 (3388 ÷ 4 = 847) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (3388 ÷ 7 = 484) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3388 ÷ 11 = 308) | 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 3388 a prime number?
No. 3388 = × 7 × , so it is divisible by 2.
What are the factors of 3388?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388.
What is 3388 in binary?
110100111100 (hexadecimal D3C, octal 6474).
What is the square root of 3388?
About 58.2065, exactly 22√7.
What is 3388 in Roman numerals?
MMMCCCLXXXVIII.
Is 3388 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3388?
3388 is a Harshad number: divisible by its digit sum 22.