The number 3370
3370 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 337. Divisors (8): 1, 2, 5, 10, 337, 674, 1685, 3370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3370 is composite. Its prime factorisation is
- 3
The divisors add up to 6084; without 3370 itself that is 2714, so 3370 is deficient (2714 is less than 3370). Euler's totient φ(3370) = 1344 numbers up to 3370 share no factor with it.
- 4
The digits of 3370 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3370 = 2 \times 5 \times 337 \]
3370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6084 |
| Euler totient φ(n) | 1344 |
| Square | 11356900 |
| Cube | 38272753000 |
| Square root | 58.051701 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.37 × |
3370 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy |
| Roman numerals | MMMCCCLXX |
| Binary (base 2) | 110100101010 |
| Octal (base 8) | 6452 |
| Hexadecimal (base 16) | D2A |
| Base 3 | 11121211 |
| As time | 3370 seconds = 56 min 10 s |
Is 3370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3370 ÷ 2 = 1685) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3370 ÷ 5 = 674) | 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 3) | 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 2) | 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 | Yes (3370 ÷ 10 = 337) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3370 a prime number?
No. 3370 = 2 × 5 × 337, so it is divisible by 2.
What are the factors of 3370?
1, 2, 5, 10, 337, 674, 1685, 3370.
What is 3370 in binary?
110100101010 (hexadecimal D2A, octal 6452).
What is the square root of 3370?
About 58.0517.
What is 3370 in Roman numerals?
MMMCCCLXX.
Is 3370 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3370?
It is a composite number with 8 divisors.