The number 2473
2473 is the 366th prime number. Its only divisors are 1 and 2473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2473: the 366th prime number.
- 2
2473 is prime, so its only factors are 1 and 2473. It is the 366th prime; the next prime is 2477 and the one before is 2467.
- 3
The divisors add up to 2474; without 2473 itself that is 1, so 2473 is deficient (1 is less than 2473). Euler's totient φ(2473) = 2472 numbers up to 2473 share no factor with it.
- 4
The digits of 2473 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
2473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2474 |
| Euler totient φ(n) | 2472 |
| Square | 6115729 |
| Cube | 15124197817 |
| Square root | 49.729267 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 2.473 × |
2473 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and seventy-three |
| Roman numerals | MMCDLXXIII |
| Binary (base 2) | 100110101001 |
| Octal (base 8) | 4651 |
| Hexadecimal (base 16) | 9A9 |
| Base 3 | 10101121 |
| As time | 2473 seconds = 41 min 13 s |
Is 2473 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 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 9) | 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 2473 a prime number?
Yes. 2473 is divisible only by 1 and itself.
What are the factors of 2473?
1, 2473.
What is 2473 in binary?
100110101001 (hexadecimal 9A9, octal 4651).
What is the square root of 2473?
About 49.7293.
What is 2473 in Roman numerals?
MMCDLXXIII.
Is 2473 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2473?
2473 is the 366th prime number.