The number 1338
1338 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 223. Divisors (8): 1, 2, 3, 6, 223, 446, 669, 1338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1338 is composite. Its prime factorisation is
- 3
The divisors add up to 2688; without 1338 itself that is 1350, so 1338 is abundant (1350 is more than 1338). Euler's totient φ(1338) = 444 numbers up to 1338 share no factor with it.
- 4
The digits of 1338 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1338 = 2 \times 3 \times 223 \]
1338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2688 |
| Euler totient φ(n) | 444 |
| Square | 1790244 |
| Cube | 2395346472 |
| Square root | 36.578682 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 1.338 × |
1338 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-eight |
| Roman numerals | MCCCXXXVIII |
| Binary (base 2) | 10100111010 |
| Octal (base 8) | 2472 |
| Hexadecimal (base 16) | 53A |
| Base 3 | 1211120 |
| As time | 1338 seconds = 22 min 18 s |
Is 1338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1338 ÷ 2 = 669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1338 ÷ 3 = 446) | 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 | Yes (1338 ÷ 6 = 223) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1338 a prime number?
No. 1338 = 2 × 3 × 223, so it is divisible by 2.
What are the factors of 1338?
1, 2, 3, 6, 223, 446, 669, 1338.
What is 1338 in binary?
10100111010 (hexadecimal 53A, octal 2472).
What is the square root of 1338?
About 36.5787.
What is 1338 in Roman numerals?
MCCCXXXVIII.
Is 1338 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1338?
It is a composite number with 8 divisors.