The number 4973
4973 is the 666th prime number. Its only divisors are 1 and 4973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4973: the 666th prime number.
- 2
4973 is prime, so its only factors are 1 and 4973. It is the 666th prime; the next prime is 4987 and the one before is 4969.
- 3
The divisors add up to 4974; without 4973 itself that is 1, so 4973 is deficient (1 is less than 4973). Euler's totient φ(4973) = 4972 numbers up to 4973 share no factor with it.
- 4
The digits of 4973 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 72 steps to reach 1.
4973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4974 |
| Euler totient φ(n) | 4972 |
| Square | 24730729 |
| Cube | 122985915317 |
| Square root | 70.519501 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 72 |
| Scientific notation | 4.973 × |
4973 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and seventy-three |
| Binary (base 2) | 1001101101101 |
| Octal (base 8) | 11555 |
| Hexadecimal (base 16) | 136D |
| Base 3 | 20211012 |
| As time | 4973 seconds = 1 h 22 min 53 s |
Is 4973 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 5) | 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 1) | 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 4973 a prime number?
Yes. 4973 is divisible only by 1 and itself.
What are the factors of 4973?
1, 4973.
What is 4973 in binary?
1001101101101 (hexadecimal 136D, octal 11555).
What is the square root of 4973?
About 70.5195.
Is 4973 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4973?
4973 is the 666th prime number.