The number 3353
3353 is a composite number with 4 divisors. Its prime factorisation is 7 × 479. Divisors (4): 1, 7, 479, 3353.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3353: a semiprime: 7 × 479, the product of two primes.
- 2
3353 is composite. Its prime factorisation is
- 3
The divisors add up to 3840; without 3353 itself that is 487, so 3353 is deficient (487 is less than 3353). Euler's totient φ(3353) = 2868 numbers up to 3353 share no factor with it.
- 4
The digits of 3353 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3353 = 7 \times 479 \]
3353 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3840 |
| Euler totient φ(n) | 2868 |
| Square | 11242609 |
| Cube | 37696467977 |
| Square root | 57.905095 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.353 × |
3353 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-three |
| Roman numerals | MMMCCCLIII |
| Binary (base 2) | 110100011001 |
| Octal (base 8) | 6431 |
| Hexadecimal (base 16) | D19 |
| Base 3 | 11121012 |
| As time | 3353 seconds = 55 min 53 s |
Is 3353 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 | No (remainder 3) | 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 | Yes (3353 ÷ 7 = 479) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 3353 a prime number?
No. 3353 = 7 × 479, so it is divisible by 7.
What are the factors of 3353?
1, 7, 479, 3353.
What is 3353 in binary?
110100011001 (hexadecimal D19, octal 6431).
What is the square root of 3353?
About 57.9051.
What is 3353 in Roman numerals?
MMMCCCLIII.
Is 3353 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3353?
3353 is a semiprime: 7 × 479, the product of two primes.