The number 29473
29473 is the 3202nd prime number. Its only divisors are 1 and 29473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29473: the 3202nd prime number.
- 2
29473 is prime, so its only factors are 1 and 29473. It is the 3202nd prime; the next prime is 29483 and the one before is 29453.
- 3
The divisors add up to 29474; without 29473 itself that is 1, so 29473 is deficient (1 is less than 29473). Euler's totient φ(29473) = 29472 numbers up to 29473 share no factor with it.
- 4
The digits of 29473 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
29473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29474 |
| Euler totient φ(n) | 29472 |
| Square | 868657729 |
| Cube | 25601949246817 |
| Square root | 171.677022 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.9473 × |
29473 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and seventy-three |
| Binary (base 2) | 111001100100001 |
| Octal (base 8) | 71441 |
| Hexadecimal (base 16) | 7321 |
| Base 3 | 1111102121 |
| As time | 29473 seconds = 8 h 11 min 13 s |
Is 29473 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 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 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 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 29473 a prime number?
Yes. 29473 is divisible only by 1 and itself.
What are the factors of 29473?
1, 29473.
What is 29473 in binary?
111001100100001 (hexadecimal 7321, octal 71441).
What is the square root of 29473?
About 171.6770.
Is 29473 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29473?
29473 is the 3202nd prime number.