The number 16473
16473 is a composite number with 12 divisors. Its prime factorisation is 3 × × 19. Divisors (12): 1, 3, 17, 19, 51, 57, 289, 323, 867, 969, 5491, 16473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16473 is composite. Its prime factorisation is
- 3
The divisors add up to 24560; without 16473 itself that is 8087, so 16473 is deficient (8087 is less than 16473). Euler's totient φ(16473) = 9792 numbers up to 16473 share no factor with it.
- 4
The digits of 16473 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16473 = 3 \times 17^{2} \times 19 \]16473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24560 |
| Euler totient φ(n) | 9792 |
| Square | 271359729 |
| Cube | 4470108815817 |
| Square root | 128.347185 (= 17√57) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6473 × |
16473 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and seventy-three |
| Binary (base 2) | 100000001011001 |
| Octal (base 8) | 40131 |
| Hexadecimal (base 16) | 4059 |
| Base 3 | 211121010 |
| As time | 16473 seconds = 4 h 34 min 33 s |
Is 16473 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 (16473 ÷ 3 = 5491) | 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 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 3) | 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 6) | 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 16473 a prime number?
No. 16473 = 3 × × 19, so it is divisible by 3.
What are the factors of 16473?
1, 3, 17, 19, 51, 57, 289, 323, 867, 969, 5491, 16473.
What is 16473 in binary?
100000001011001 (hexadecimal 4059, octal 40131).
What is the square root of 16473?
About 128.3472, exactly 17√57.
Is 16473 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16473?
It is a composite number with 12 divisors.