The number 3081
3081 is a triangular number: 1 + 2 + … + 78 = 3081. Its prime factorisation is 3 × 13 × 79. Divisors (8): 1, 3, 13, 39, 79, 237, 1027, 3081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3081: a triangular number: 1 + 2 + … + 78 = 3081.
- 2
3081 is composite. Its prime factorisation is
- 3
The divisors add up to 4480; without 3081 itself that is 1399, so 3081 is deficient (1399 is less than 3081). Euler's totient φ(3081) = 1872 numbers up to 3081 share no factor with it.
- 4
The digits of 3081 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3081 = 3 \times 13 \times 79 \]
3081 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4480 |
| Euler totient φ(n) | 1872 |
| Square | 9492561 |
| Cube | 29246580441 |
| Square root | 55.506756 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 154 |
| Scientific notation | 3.081 × |
3081 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eighty-one |
| Roman numerals | MMMLXXXI |
| Binary (base 2) | 110000001001 |
| Octal (base 8) | 6011 |
| Hexadecimal (base 16) | C09 |
| Base 3 | 11020010 |
| As time | 3081 seconds = 51 min 21 s |
Is 3081 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 (3081 ÷ 3 = 1027) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | 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 3081 a prime number?
No. 3081 = 3 × 13 × 79, so it is divisible by 3.
What are the factors of 3081?
1, 3, 13, 39, 79, 237, 1027, 3081.
What is 3081 in binary?
110000001001 (hexadecimal C09, octal 6011).
What is the square root of 3081?
About 55.5068.
What is 3081 in Roman numerals?
MMMLXXXI.
Is 3081 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3081?
3081 is a triangular number: 1 + 2 + … + 78 = 3081.