The number 3061
3061 is the 438th prime number. Its only divisors are 1 and 3061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3061: the 438th prime number.
- 2
3061 is prime, so its only factors are 1 and 3061. It is the 438th prime; the next prime is 3067 and the one before is 3049.
- 3
The divisors add up to 3062; without 3061 itself that is 1, so 3061 is deficient (1 is less than 3061). Euler's totient φ(3061) = 3060 numbers up to 3061 share no factor with it.
- 4
The digits of 3061 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
3061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3062 |
| Euler totient φ(n) | 3060 |
| Square | 9369721 |
| Cube | 28680715981 |
| Square root | 55.326305 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 3.061 × |
3061 in other forms
| Form | Value |
|---|---|
| In words | three thousand and sixty-one |
| Roman numerals | MMMLXI |
| Binary (base 2) | 101111110101 |
| Octal (base 8) | 5765 |
| Hexadecimal (base 16) | BF5 |
| Base 3 | 11012101 |
| As time | 3061 seconds = 51 min 1 s |
Is 3061 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3061 a prime number?
Yes. 3061 is divisible only by 1 and itself.
What are the factors of 3061?
1, 3061.
What is 3061 in binary?
101111110101 (hexadecimal BF5, octal 5765).
What is the square root of 3061?
About 55.3263.
What is 3061 in Roman numerals?
MMMLXI.
Is 3061 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3061?
3061 is the 438th prime number.