The number 61121
61121 is the 6155th prime number. Its only divisors are 1 and 61121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61121: the 6155th prime number.
- 2
61121 is prime, so its only factors are 1 and 61121. It is the 6155th prime; the next prime is 61129 and the one before is 61099.
- 3
The divisors add up to 61122; without 61121 itself that is 1, so 61121 is deficient (1 is less than 61121). Euler's totient φ(61121) = 61120 numbers up to 61121 share no factor with it.
- 4
The digits of 61121 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
61121 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61122 |
| Euler totient φ(n) | 61120 |
| Square | 3735776641 |
| Cube | 228334404074561 |
| Square root | 247.226617 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1121 × |
61121 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and twenty-one |
| Binary (base 2) | 1110111011000001 |
| Octal (base 8) | 167301 |
| Hexadecimal (base 16) | EEC1 |
| Base 3 | 10002211202 |
| As time | 61121 seconds = 16 h 58 min 41 s |
Is 61121 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 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61121 a prime number?
Yes. 61121 is divisible only by 1 and itself.
What are the factors of 61121?
1, 61121.
What is 61121 in binary?
1110111011000001 (hexadecimal EEC1, octal 167301).
What is the square root of 61121?
About 247.2266.
Is 61121 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 61121?
61121 is the 6155th prime number.