The number 72673
72673 is a twin prime (72671 and 72673 are both prime) and the 7187th prime number. Its only divisors are 1 and 72673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72673: a twin prime (72671 and 72673 are both prime); the 7187th prime number.
- 2
72673 is prime, so its only factors are 1 and 72673. It is the 7187th prime; the next prime is 72679 and the one before is 72671.
- 3
The divisors add up to 72674; without 72673 itself that is 1, so 72673 is deficient (1 is less than 72673). Euler's totient φ(72673) = 72672 numbers up to 72673 share no factor with it.
- 4
The digits of 72673 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
72673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72674 |
| Euler totient φ(n) | 72672 |
| Square | 5281364929 |
| Cube | 383812633485217 |
| Square root | 269.579302 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2673 × |
72673 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand six hundred and seventy-three |
| Binary (base 2) | 10001101111100001 |
| Octal (base 8) | 215741 |
| Hexadecimal (base 16) | 11BE1 |
| Base 3 | 10200200121 |
| As time | 72673 seconds = 20 h 11 min 13 s |
Is 72673 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 6) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72673 a prime number?
Yes. 72673 is divisible only by 1 and itself.
What are the factors of 72673?
1, 72673.
What is 72673 in binary?
10001101111100001 (hexadecimal 11BE1, octal 215741).
What is the square root of 72673?
About 269.5793.
Is 72673 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72673?
72673 is a twin prime (72671 and 72673 are both prime); the 7187th prime number.