The number 6121
6121 is the 798th prime number. Its only divisors are 1 and 6121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6121: the 798th prime number.
- 2
6121 is prime, so its only factors are 1 and 6121. It is the 798th prime; the next prime is 6131 and the one before is 6113.
- 3
The divisors add up to 6122; without 6121 itself that is 1, so 6121 is deficient (1 is less than 6121). Euler's totient φ(6121) = 6120 numbers up to 6121 share no factor with it.
- 4
The digits of 6121 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 173 steps to reach 1.
6121 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6122 |
| Euler totient φ(n) | 6120 |
| Square | 37466641 |
| Cube | 229333309561 |
| Square root | 78.236820 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 173 |
| Scientific notation | 6.121 × |
6121 in other forms
| Form | Value |
|---|---|
| In words | six thousand one hundred and twenty-one |
| Binary (base 2) | 1011111101001 |
| Octal (base 8) | 13751 |
| Hexadecimal (base 16) | 17E9 |
| Base 3 | 22101201 |
| As time | 6121 seconds = 1 h 42 min 1 s |
Is 6121 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 3) | 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 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 5) | 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 6121 a prime number?
Yes. 6121 is divisible only by 1 and itself.
What are the factors of 6121?
1, 6121.
What is 6121 in binary?
1011111101001 (hexadecimal 17E9, octal 13751).
What is the square root of 6121?
About 78.2368.
Is 6121 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 6121?
6121 is the 798th prime number.