The number 61813
61813 is the 6216th prime number. Its only divisors are 1 and 61813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61813: the 6216th prime number.
- 2
61813 is prime, so its only factors are 1 and 61813. It is the 6216th prime; the next prime is 61819 and the one before is 61781.
- 3
The divisors add up to 61814; without 61813 itself that is 1, so 61813 is deficient (1 is less than 61813). Euler's totient φ(61813) = 61812 numbers up to 61813 share no factor with it.
- 4
The digits of 61813 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
61813 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61814 |
| Euler totient φ(n) | 61812 |
| Square | 3820846969 |
| Cube | 236178013694797 |
| Square root | 248.622203 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1813 × |
61813 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand eight hundred and thirteen |
| Binary (base 2) | 1111000101110101 |
| Octal (base 8) | 170565 |
| Hexadecimal (base 16) | F175 |
| Base 3 | 10010210101 |
| As time | 61813 seconds = 17 h 10 min 13 s |
Is 61813 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 3) | 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 61813 a prime number?
Yes. 61813 is divisible only by 1 and itself.
What are the factors of 61813?
1, 61813.
What is 61813 in binary?
1111000101110101 (hexadecimal F175, octal 170565).
What is the square root of 61813?
About 248.6222.
Is 61813 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61813?
61813 is the 6216th prime number.