The number 1348
1348 is a composite number with 6 divisors. Its prime factorisation is × 337. Divisors (6): 1, 2, 4, 337, 674, 1348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1348 is composite. Its prime factorisation is
- 3
The divisors add up to 2366; without 1348 itself that is 1018, so 1348 is deficient (1018 is less than 1348). Euler's totient φ(1348) = 672 numbers up to 1348 share no factor with it.
- 4
The digits of 1348 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1348 = 2^{2} \times 337 \]1348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2366 |
| Euler totient φ(n) | 672 |
| Square | 1817104 |
| Cube | 2449456192 |
| Square root | 36.715120 (= 2√337) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.348 × |
1348 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and forty-eight |
| Roman numerals | MCCCXLVIII |
| Binary (base 2) | 10101000100 |
| Octal (base 8) | 2504 |
| Hexadecimal (base 16) | 544 |
| Base 3 | 1211221 |
| As time | 1348 seconds = 22 min 28 s |
Is 1348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1348 ÷ 2 = 674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1348 ÷ 4 = 337) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1348 a prime number?
No. 1348 = × 337, so it is divisible by 2.
What are the factors of 1348?
1, 2, 4, 337, 674, 1348.
What is 1348 in binary?
10101000100 (hexadecimal 544, octal 2504).
What is the square root of 1348?
About 36.7151, exactly 2√337.
What is 1348 in Roman numerals?
MCCCXLVIII.
Is 1348 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1348?
It is a composite number with 6 divisors.