The number 54973
54973 is the 5588th prime number. Its only divisors are 1 and 54973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54973: the 5588th prime number.
- 2
54973 is prime, so its only factors are 1 and 54973. It is the 5588th prime; the next prime is 54979 and the one before is 54959.
- 3
The divisors add up to 54974; without 54973 itself that is 1, so 54973 is deficient (1 is less than 54973). Euler's totient φ(54973) = 54972 numbers up to 54973 share no factor with it.
- 4
The digits of 54973 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
54973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 54974 |
| Euler totient φ(n) | 54972 |
| Square | 3022030729 |
| Cube | 166130095265317 |
| Square root | 234.463217 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.4973 × |
54973 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and seventy-three |
| Binary (base 2) | 1101011010111101 |
| Octal (base 8) | 153275 |
| Hexadecimal (base 16) | D6BD |
| Base 3 | 2210102001 |
| As time | 54973 seconds = 15 h 16 min 13 s |
Is 54973 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 2) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54973 a prime number?
Yes. 54973 is divisible only by 1 and itself.
What are the factors of 54973?
1, 54973.
What is 54973 in binary?
1101011010111101 (hexadecimal D6BD, octal 153275).
What is the square root of 54973?
About 234.4632.
Is 54973 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 54973?
54973 is the 5588th prime number.