The number 18473
18473 is a composite number with 12 divisors. Its prime factorisation is × 13 × 29. Divisors (12): 1, 7, 13, 29, 49, 91, 203, 377, 637, 1421, 2639, 18473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18473: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18473 is composite. Its prime factorisation is
- 3
The divisors add up to 23940; without 18473 itself that is 5467, so 18473 is deficient (5467 is less than 18473). Euler's totient φ(18473) = 14112 numbers up to 18473 share no factor with it.
- 4
The digits of 18473 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18473 = 7^{2} \times 13 \times 29 \]18473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23940 |
| Euler totient φ(n) | 14112 |
| Square | 341251729 |
| Cube | 6303943189817 |
| Square root | 135.915415 (= 7√377) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8473 × |
18473 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and seventy-three |
| Binary (base 2) | 100100000101001 |
| Octal (base 8) | 44051 |
| Hexadecimal (base 16) | 4829 |
| Base 3 | 221100012 |
| As time | 18473 seconds = 5 h 7 min 53 s |
Is 18473 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 | Yes (18473 ÷ 7 = 2639) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18473 a prime number?
No. 18473 = × 13 × 29, so it is divisible by 7.
What are the factors of 18473?
1, 7, 13, 29, 49, 91, 203, 377, 637, 1421, 2639, 18473.
What is 18473 in binary?
100100000101001 (hexadecimal 4829, octal 44051).
What is the square root of 18473?
About 135.9154, exactly 7√377.
Is 18473 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 18473?
18473 is a happy number: repeatedly adding the squares of its digits reaches 1.