The number 22473
22473 is a composite number with 12 divisors. Its prime factorisation is × 11 × 227. Divisors (12): 1, 3, 9, 11, 33, 99, 227, 681, 2043, 2497, 7491, 22473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22473: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22473 is composite. Its prime factorisation is
- 3
The divisors add up to 35568; without 22473 itself that is 13095, so 22473 is deficient (13095 is less than 22473). Euler's totient φ(22473) = 13560 numbers up to 22473 share no factor with it.
- 4
The digits of 22473 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22473 = 3^{2} \times 11 \times 227 \]22473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35568 |
| Euler totient φ(n) | 13560 |
| Square | 505035729 |
| Cube | 11349667937817 |
| Square root | 149.909973 (= 3√2497) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2473 × |
22473 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and seventy-three |
| Binary (base 2) | 101011111001001 |
| Octal (base 8) | 53711 |
| Hexadecimal (base 16) | 57C9 |
| Base 3 | 1010211100 |
| As time | 22473 seconds = 6 h 14 min 33 s |
Is 22473 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 | Yes (22473 ÷ 3 = 7491) | 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 3) | 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 | Yes (22473 ÷ 9 = 2497) | 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 | Yes (22473 ÷ 11 = 2043) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22473 a prime number?
No. 22473 = × 11 × 227, so it is divisible by 3.
What are the factors of 22473?
1, 3, 9, 11, 33, 99, 227, 681, 2043, 2497, 7491, 22473.
What is 22473 in binary?
101011111001001 (hexadecimal 57C9, octal 53711).
What is the square root of 22473?
About 149.9100, exactly 3√2497.
Is 22473 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 22473?
22473 is a happy number: repeatedly adding the squares of its digits reaches 1.