The number 3390
3390 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 113. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3390: a Harshad number: divisible by its digit sum 15.
- 2
3390 is composite. Its prime factorisation is
- 3
The divisors add up to 8208; without 3390 itself that is 4818, so 3390 is abundant (4818 is more than 3390). Euler's totient φ(3390) = 896 numbers up to 3390 share no factor with it.
- 4
The digits of 3390 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3390 = 2 \times 3 \times 5 \times 113 \]
3390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8208 |
| Euler totient φ(n) | 896 |
| Square | 11492100 |
| Cube | 38958219000 |
| Square root | 58.223707 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 180 |
| Scientific notation | 3.39 × |
3390 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety |
| Roman numerals | MMMCCCXC |
| Binary (base 2) | 110100111110 |
| Octal (base 8) | 6476 |
| Hexadecimal (base 16) | D3E |
| Base 3 | 11122120 |
| As time | 3390 seconds = 56 min 30 s |
Is 3390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3390 ÷ 2 = 1695) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3390 ÷ 3 = 1130) | 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 | Yes (3390 ÷ 5 = 678) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3390 ÷ 6 = 565) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3390 ÷ 10 = 339) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 3390 a prime number?
No. 3390 = 2 × 3 × 5 × 113, so it is divisible by 2.
What are the factors of 3390?
1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390.
What is 3390 in binary?
110100111110 (hexadecimal D3E, octal 6476).
What is the square root of 3390?
About 58.2237.
What is 3390 in Roman numerals?
MMMCCCXC.
Is 3390 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3390?
3390 is a Harshad number: divisible by its digit sum 15.