The number 341
341 is a binary palindrome (101010101). Its prime factorisation is 11 × 31. Divisors (4): 1, 11, 31, 341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 341: a binary palindrome (101010101); a semiprime: 11 × 31, the product of two primes.
- 2
341 is composite. Its prime factorisation is
- 3
The divisors add up to 384; without 341 itself that is 43, so 341 is deficient (43 is less than 341). Euler's totient φ(341) = 300 numbers up to 341 share no factor with it.
- 4
The digits of 341 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 11 steps to reach 1.
LaTeX source of the formulas on this page
\[ 341 = 11 \times 31 \]
341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 384 |
| Euler totient φ(n) | 300 |
| Square | 116281 |
| Cube | 39651821 |
| Square root | 18.466185 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 11 |
| Scientific notation | 3.41 × |
341 in other forms
| Form | Value |
|---|---|
| In words | three hundred and forty-one |
| Roman numerals | CCCXLI |
| Binary (base 2) | 101010101 |
| Octal (base 8) | 525 |
| Hexadecimal (base 16) | 155 |
| Base 3 | 110122 |
| As time | 341 seconds = 5 min 41 s |
Is 341 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 8) | 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 | Yes (341 ÷ 11 = 31) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 341 a prime number?
No. 341 = 11 × 31, so it is divisible by 11.
What are the factors of 341?
1, 11, 31, 341.
What is 341 in binary?
101010101 (hexadecimal 155, octal 525).
What is the square root of 341?
About 18.4662.
What is 341 in Roman numerals?
CCCXLI.
Is 341 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 341?
341 is a binary palindrome (101010101); a semiprime: 11 × 31, the product of two primes.