The number 4073
4073 is the 561st prime number. Its only divisors are 1 and 4073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4073: the 561st prime number.
- 2
4073 is prime, so its only factors are 1 and 4073. It is the 561st prime; the next prime is 4079 and the one before is 4057.
- 3
The divisors add up to 4074; without 4073 itself that is 1, so 4073 is deficient (1 is less than 4073). Euler's totient φ(4073) = 4072 numbers up to 4073 share no factor with it.
- 4
The digits of 4073 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
4073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4074 |
| Euler totient φ(n) | 4072 |
| Square | 16589329 |
| Cube | 67568337017 |
| Square root | 63.820060 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.073 × |
4073 in other forms
| Form | Value |
|---|---|
| In words | four thousand and seventy-three |
| Binary (base 2) | 111111101001 |
| Octal (base 8) | 7751 |
| Hexadecimal (base 16) | FE9 |
| Base 3 | 12120212 |
| As time | 4073 seconds = 1 h 7 min 53 s |
Is 4073 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 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 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 3) | 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 4073 a prime number?
Yes. 4073 is divisible only by 1 and itself.
What are the factors of 4073?
1, 4073.
What is 4073 in binary?
111111101001 (hexadecimal FE9, octal 7751).
What is the square root of 4073?
About 63.8201.
Is 4073 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4073?
4073 is the 561st prime number.