The number 3091
3091 is a composite number with 4 divisors. Its prime factorisation is 11 × 281. Divisors (4): 1, 11, 281, 3091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3091: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 281, the product of two primes.
- 2
3091 is composite. Its prime factorisation is
- 3
The divisors add up to 3384; without 3091 itself that is 293, so 3091 is deficient (293 is less than 3091). Euler's totient φ(3091) = 2800 numbers up to 3091 share no factor with it.
- 4
The digits of 3091 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3091 = 11 \times 281 \]
3091 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3384 |
| Euler totient φ(n) | 2800 |
| Square | 9554281 |
| Cube | 29532282571 |
| Square root | 55.596762 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.091 × |
3091 in other forms
| Form | Value |
|---|---|
| In words | three thousand and ninety-one |
| Roman numerals | MMMXCI |
| Binary (base 2) | 110000010011 |
| Octal (base 8) | 6023 |
| Hexadecimal (base 16) | C13 |
| Base 3 | 11020111 |
| As time | 3091 seconds = 51 min 31 s |
Is 3091 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (3091 ÷ 11 = 281) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3091 a prime number?
No. 3091 = 11 × 281, so it is divisible by 11.
What are the factors of 3091?
1, 11, 281, 3091.
What is 3091 in binary?
110000010011 (hexadecimal C13, octal 6023).
What is the square root of 3091?
About 55.5968.
What is 3091 in Roman numerals?
MMMXCI.
Is 3091 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3091?
3091 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 281, the product of two primes.