The number 3365
3365 is a composite number with 4 divisors. Its prime factorisation is 5 × 673. Divisors (4): 1, 5, 673, 3365.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3365: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 673, the product of two primes.
- 2
3365 is composite. Its prime factorisation is
- 3
The divisors add up to 4044; without 3365 itself that is 679, so 3365 is deficient (679 is less than 3365). Euler's totient φ(3365) = 2688 numbers up to 3365 share no factor with it.
- 4
The digits of 3365 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3365 = 5 \times 673 \]
3365 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4044 |
| Euler totient φ(n) | 2688 |
| Square | 11323225 |
| Cube | 38102652125 |
| Square root | 58.008620 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.365 × |
3365 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and sixty-five |
| Roman numerals | MMMCCCLXV |
| Binary (base 2) | 110100100101 |
| Octal (base 8) | 6445 |
| Hexadecimal (base 16) | D25 |
| Base 3 | 11121122 |
| As time | 3365 seconds = 56 min 5 s |
Is 3365 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3365 ÷ 5 = 673) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3365 a prime number?
No. 3365 = 5 × 673, so it is divisible by 5.
What are the factors of 3365?
1, 5, 673, 3365.
What is 3365 in binary?
110100100101 (hexadecimal D25, octal 6445).
What is the square root of 3365?
About 58.0086.
What is 3365 in Roman numerals?
MMMCCCLXV.
Is 3365 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3365?
3365 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 673, the product of two primes.