The number 24473
24473 is the 2716th prime number. Its only divisors are 1 and 24473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24473: the 2716th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24473 is prime, so its only factors are 1 and 24473. It is the 2716th prime; the next prime is 24481 and the one before is 24469.
- 3
The divisors add up to 24474; without 24473 itself that is 1, so 24473 is deficient (1 is less than 24473). Euler's totient φ(24473) = 24472 numbers up to 24473 share no factor with it.
- 4
The digits of 24473 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
24473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24474 |
| Euler totient φ(n) | 24472 |
| Square | 598927729 |
| Cube | 14657558311817 |
| Square root | 156.438486 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.4473 × |
24473 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and seventy-three |
| Binary (base 2) | 101111110011001 |
| Octal (base 8) | 57631 |
| Hexadecimal (base 16) | 5F99 |
| Base 3 | 1020120102 |
| As time | 24473 seconds = 6 h 47 min 53 s |
Is 24473 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 1) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24473 a prime number?
Yes. 24473 is divisible only by 1 and itself.
What are the factors of 24473?
1, 24473.
What is 24473 in binary?
101111110011001 (hexadecimal 5F99, octal 57631).
What is the square root of 24473?
About 156.4385.
Is 24473 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 24473?
24473 is the 2716th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.