The number 61673
61673 is the 6206th prime number. Its only divisors are 1 and 61673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61673: the 6206th prime number.
- 2
61673 is prime, so its only factors are 1 and 61673. It is the 6206th prime; the next prime is 61681 and the one before is 61667.
- 3
The divisors add up to 61674; without 61673 itself that is 1, so 61673 is deficient (1 is less than 61673). Euler's totient φ(61673) = 61672 numbers up to 61673 share no factor with it.
- 4
The digits of 61673 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
61673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61674 |
| Euler totient φ(n) | 61672 |
| Square | 3803558929 |
| Cube | 234576889828217 |
| Square root | 248.340492 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.1673 × |
61673 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and seventy-three |
| Binary (base 2) | 1111000011101001 |
| Octal (base 8) | 170351 |
| Hexadecimal (base 16) | F0E9 |
| Base 3 | 10010121012 |
| As time | 61673 seconds = 17 h 7 min 53 s |
Is 61673 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 3) | 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 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 5) | 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 7) | 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 61673 a prime number?
Yes. 61673 is divisible only by 1 and itself.
What are the factors of 61673?
1, 61673.
What is 61673 in binary?
1111000011101001 (hexadecimal F0E9, octal 170351).
What is the square root of 61673?
About 248.3405.
Is 61673 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 61673?
61673 is the 6206th prime number.