The number 3338
3338 is a composite number with 4 divisors. Its prime factorisation is 2 × 1669. Divisors (4): 1, 2, 1669, 3338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3338: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1669, the product of two primes.
- 2
3338 is composite. Its prime factorisation is
- 3
The divisors add up to 5010; without 3338 itself that is 1672, so 3338 is deficient (1672 is less than 3338). Euler's totient φ(3338) = 1668 numbers up to 3338 share no factor with it.
- 4
The digits of 3338 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
\[ 3338 = 2 \times 1669 \]
3338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5010 |
| Euler totient φ(n) | 1668 |
| Square | 11142244 |
| Cube | 37192810472 |
| Square root | 57.775427 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.338 × |
3338 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty-eight |
| Roman numerals | MMMCCCXXXVIII |
| Binary (base 2) | 110100001010 |
| Octal (base 8) | 6412 |
| Hexadecimal (base 16) | D0A |
| Base 3 | 11120122 |
| As time | 3338 seconds = 55 min 38 s |
Is 3338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3338 ÷ 2 = 1669) | 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 2) | 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 2) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3338 a prime number?
No. 3338 = 2 × 1669, so it is divisible by 2.
What are the factors of 3338?
1, 2, 1669, 3338.
What is 3338 in binary?
110100001010 (hexadecimal D0A, octal 6412).
What is the square root of 3338?
About 57.7754.
What is 3338 in Roman numerals?
MMMCCCXXXVIII.
Is 3338 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3338?
3338 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1669, the product of two primes.