The number 1341
1341 is a composite number with 6 divisors. Its prime factorisation is × 149. Divisors (6): 1, 3, 9, 149, 447, 1341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1341: a Harshad number: divisible by its digit sum 9.
- 2
1341 is composite. Its prime factorisation is
- 3
The divisors add up to 1950; without 1341 itself that is 609, so 1341 is deficient (609 is less than 1341). Euler's totient φ(1341) = 888 numbers up to 1341 share no factor with it.
- 4
The digits of 1341 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1341 = 3^{2} \times 149 \]1341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1950 |
| Euler totient φ(n) | 888 |
| Square | 1798281 |
| Cube | 2411494821 |
| Square root | 36.619667 (= 3√149) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 1.341 × |
1341 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and forty-one |
| Roman numerals | MCCCXLI |
| Binary (base 2) | 10100111101 |
| Octal (base 8) | 2475 |
| Hexadecimal (base 16) | 53D |
| Base 3 | 1211200 |
| As time | 1341 seconds = 22 min 21 s |
Is 1341 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 | Yes (1341 ÷ 3 = 447) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1341 ÷ 9 = 149) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1341 a prime number?
No. 1341 = × 149, so it is divisible by 3.
What are the factors of 1341?
1, 3, 9, 149, 447, 1341.
What is 1341 in binary?
10100111101 (hexadecimal 53D, octal 2475).
What is the square root of 1341?
About 36.6197, exactly 3√149.
What is 1341 in Roman numerals?
MCCCXLI.
Is 1341 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1341?
1341 is a Harshad number: divisible by its digit sum 9.