The number 3345
3345 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 223. Divisors (8): 1, 3, 5, 15, 223, 669, 1115, 3345.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3345: a Harshad number: divisible by its digit sum 15.
- 2
3345 is composite. Its prime factorisation is
- 3
The divisors add up to 5376; without 3345 itself that is 2031, so 3345 is deficient (2031 is less than 3345). Euler's totient φ(3345) = 1776 numbers up to 3345 share no factor with it.
- 4
The digits of 3345 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3345 = 3 \times 5 \times 223 \]
3345 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5376 |
| Euler totient φ(n) | 1776 |
| Square | 11189025 |
| Cube | 37427288625 |
| Square root | 57.835975 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.345 × |
3345 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty-five |
| Roman numerals | MMMCCCXLV |
| Binary (base 2) | 110100010001 |
| Octal (base 8) | 6421 |
| Hexadecimal (base 16) | D11 |
| Base 3 | 11120220 |
| As time | 3345 seconds = 55 min 45 s |
Is 3345 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 | Yes (3345 ÷ 3 = 1115) | 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 (3345 ÷ 5 = 669) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3345 a prime number?
No. 3345 = 3 × 5 × 223, so it is divisible by 3.
What are the factors of 3345?
1, 3, 5, 15, 223, 669, 1115, 3345.
What is 3345 in binary?
110100010001 (hexadecimal D11, octal 6421).
What is the square root of 3345?
About 57.8360.
What is 3345 in Roman numerals?
MMMCCCXLV.
Is 3345 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3345?
3345 is a Harshad number: divisible by its digit sum 15.