The number 3383
3383 is a composite number with 4 divisors. Its prime factorisation is 17 × 199. Divisors (4): 1, 17, 199, 3383.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3383: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 199, the product of two primes.
- 2
3383 is composite. Its prime factorisation is
- 3
The divisors add up to 3600; without 3383 itself that is 217, so 3383 is deficient (217 is less than 3383). Euler's totient φ(3383) = 3168 numbers up to 3383 share no factor with it.
- 4
The digits of 3383 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3383 = 17 \times 199 \]
3383 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3600 |
| Euler totient φ(n) | 3168 |
| Square | 11444689 |
| Cube | 38717382887 |
| Square root | 58.163562 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.383 × |
3383 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eighty-three |
| Roman numerals | MMMCCCLXXXIII |
| Binary (base 2) | 110100110111 |
| Octal (base 8) | 6467 |
| Hexadecimal (base 16) | D37 |
| Base 3 | 11122022 |
| As time | 3383 seconds = 56 min 23 s |
Is 3383 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 3) | 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 | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3383 a prime number?
No. 3383 = 17 × 199, so it is divisible by 17.
What are the factors of 3383?
1, 17, 199, 3383.
What is 3383 in binary?
110100110111 (hexadecimal D37, octal 6467).
What is the square root of 3383?
About 58.1636.
What is 3383 in Roman numerals?
MMMCCCLXXXIII.
Is 3383 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3383?
3383 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 199, the product of two primes.