The number 23473
23473 is the 2612th prime number. Its only divisors are 1 and 23473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23473: the 2612th prime number.
- 2
23473 is prime, so its only factors are 1 and 23473. It is the 2612th prime; the next prime is 23497 and the one before is 23459.
- 3
The divisors add up to 23474; without 23473 itself that is 1, so 23473 is deficient (1 is less than 23473). Euler's totient φ(23473) = 23472 numbers up to 23473 share no factor with it.
- 4
The digits of 23473 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
23473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23474 |
| Euler totient φ(n) | 23472 |
| Square | 550981729 |
| Cube | 12933194124817 |
| Square root | 153.209008 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3473 × |
23473 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and seventy-three |
| Binary (base 2) | 101101110110001 |
| Octal (base 8) | 55661 |
| Hexadecimal (base 16) | 5BB1 |
| Base 3 | 1012012101 |
| As time | 23473 seconds = 6 h 31 min 13 s |
Is 23473 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 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 10) | 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 23473 a prime number?
Yes. 23473 is divisible only by 1 and itself.
What are the factors of 23473?
1, 23473.
What is 23473 in binary?
101101110110001 (hexadecimal 5BB1, octal 55661).
What is the square root of 23473?
About 153.2090.
Is 23473 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 23473?
23473 is the 2612th prime number.