The number 61027
61027 is the 6148th prime number. Its only divisors are 1 and 61027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61027: the 6148th prime number.
- 2
61027 is prime, so its only factors are 1 and 61027. It is the 6148th prime; the next prime is 61031 and the one before is 61007.
- 3
The divisors add up to 61028; without 61027 itself that is 1, so 61027 is deficient (1 is less than 61027). Euler's totient φ(61027) = 61026 numbers up to 61027 share no factor with it.
- 4
The digits of 61027 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
61027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61028 |
| Euler totient φ(n) | 61026 |
| Square | 3724294729 |
| Cube | 227282534426683 |
| Square root | 247.036435 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1027 × |
61027 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and twenty-seven |
| Binary (base 2) | 1110111001100011 |
| Octal (base 8) | 167143 |
| Hexadecimal (base 16) | EE63 |
| Base 3 | 10002201021 |
| As time | 61027 seconds = 16 h 57 min 7 s |
Is 61027 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 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 61027 a prime number?
Yes. 61027 is divisible only by 1 and itself.
What are the factors of 61027?
1, 61027.
What is 61027 in binary?
1110111001100011 (hexadecimal EE63, octal 167143).
What is the square root of 61027?
About 247.0364.
Is 61027 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 61027?
61027 is the 6148th prime number.