The number 73673
73673 is the 7274th prime number. Its only divisors are 1 and 73673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73673: the 7274th prime number.
- 2
73673 is prime, so its only factors are 1 and 73673. It is the 7274th prime; the next prime is 73679 and the one before is 73651.
- 3
The divisors add up to 73674; without 73673 itself that is 1, so 73673 is deficient (1 is less than 73673). Euler's totient φ(73673) = 73672 numbers up to 73673 share no factor with it.
- 4
The digits of 73673 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
73673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73674 |
| Euler totient φ(n) | 73672 |
| Square | 5427710929 |
| Cube | 399875747272217 |
| Square root | 271.427707 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3673 × |
73673 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and seventy-three |
| Binary (base 2) | 10001111111001001 |
| Octal (base 8) | 217711 |
| Hexadecimal (base 16) | 11FC9 |
| Base 3 | 10202001122 |
| As time | 73673 seconds = 20 h 27 min 53 s |
Is 73673 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 5) | 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 8) | 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 6) | 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 73673 a prime number?
Yes. 73673 is divisible only by 1 and itself.
What are the factors of 73673?
1, 73673.
What is 73673 in binary?
10001111111001001 (hexadecimal 11FC9, octal 217711).
What is the square root of 73673?
About 271.4277.
Is 73673 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73673?
73673 is the 7274th prime number.