The number 62473
62473 is the 6272nd prime number. Its only divisors are 1 and 62473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62473: the 6272nd prime number.
- 2
62473 is prime, so its only factors are 1 and 62473. It is the 6272nd prime; the next prime is 62477 and the one before is 62467.
- 3
The divisors add up to 62474; without 62473 itself that is 1, so 62473 is deficient (1 is less than 62473). Euler's totient φ(62473) = 62472 numbers up to 62473 share no factor with it.
- 4
The digits of 62473 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
62473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 62474 |
| Euler totient φ(n) | 62472 |
| Square | 3902875729 |
| Cube | 243824355417817 |
| Square root | 249.945994 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.2473 × |
62473 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand four hundred and seventy-three |
| Binary (base 2) | 1111010000001001 |
| Octal (base 8) | 172011 |
| Hexadecimal (base 16) | F409 |
| Base 3 | 10011200211 |
| As time | 62473 seconds = 17 h 21 min 13 s |
Is 62473 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 5) | 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 4) | 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 4) | 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 62473 a prime number?
Yes. 62473 is divisible only by 1 and itself.
What are the factors of 62473?
1, 62473.
What is 62473 in binary?
1111010000001001 (hexadecimal F409, octal 172011).
What is the square root of 62473?
About 249.9460.
Is 62473 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 62473?
62473 is the 6272nd prime number.