The number 3141
3141 is a composite number with 6 divisors. Its prime factorisation is × 349. Divisors (6): 1, 3, 9, 349, 1047, 3141.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3141: a Harshad number: divisible by its digit sum 9.
- 2
3141 is composite. Its prime factorisation is
- 3
The divisors add up to 4550; without 3141 itself that is 1409, so 3141 is deficient (1409 is less than 3141). Euler's totient φ(3141) = 2088 numbers up to 3141 share no factor with it.
- 4
The digits of 3141 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 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3141 = 3^{2} \times 349 \]3141 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4550 |
| Euler totient φ(n) | 2088 |
| Square | 9865881 |
| Cube | 30988732221 |
| Square root | 56.044625 (= 3√349) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.141 × |
3141 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and forty-one |
| Roman numerals | MMMCXLI |
| Binary (base 2) | 110001000101 |
| Octal (base 8) | 6105 |
| Hexadecimal (base 16) | C45 |
| Base 3 | 11022100 |
| As time | 3141 seconds = 52 min 21 s |
Is 3141 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 (3141 ÷ 3 = 1047) | 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 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 | Yes (3141 ÷ 9 = 349) | 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 6) | 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 3141 a prime number?
No. 3141 = × 349, so it is divisible by 3.
What are the factors of 3141?
1, 3, 9, 349, 1047, 3141.
What is 3141 in binary?
110001000101 (hexadecimal C45, octal 6105).
What is the square root of 3141?
About 56.0446, exactly 3√349.
What is 3141 in Roman numerals?
MMMCXLI.
Is 3141 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3141?
3141 is a Harshad number: divisible by its digit sum 9.