The number 13473
13473 is a composite number with 8 divisors. Its prime factorisation is × 499. Divisors (8): 1, 3, 9, 27, 499, 1497, 4491, 13473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13473 is composite. Its prime factorisation is
- 3
The divisors add up to 20000; without 13473 itself that is 6527, so 13473 is deficient (6527 is less than 13473). Euler's totient φ(13473) = 8964 numbers up to 13473 share no factor with it.
- 4
The digits of 13473 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13473 = 3^{3} \times 499 \]13473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20000 |
| Euler totient φ(n) | 8964 |
| Square | 181521729 |
| Cube | 2445642254817 |
| Square root | 116.073253 (= 3√1497) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3473 × |
13473 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and seventy-three |
| Binary (base 2) | 11010010100001 |
| Octal (base 8) | 32241 |
| Hexadecimal (base 16) | 34A1 |
| Base 3 | 200111000 |
| As time | 13473 seconds = 3 h 44 min 33 s |
Is 13473 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 (13473 ÷ 3 = 4491) | 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 5) | 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 (13473 ÷ 9 = 1497) | 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 9) | 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 13473 a prime number?
No. 13473 = × 499, so it is divisible by 3.
What are the factors of 13473?
1, 3, 9, 27, 499, 1497, 4491, 13473.
What is 13473 in binary?
11010010100001 (hexadecimal 34A1, octal 32241).
What is the square root of 13473?
About 116.0733, exactly 3√1497.
Is 13473 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13473?
It is a composite number with 8 divisors.