The number 31473
31473 is a composite number with 12 divisors. Its prime factorisation is × 13 × 269. Divisors (12): 1, 3, 9, 13, 39, 117, 269, 807, 2421, 3497, 10491, 31473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31473 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 31473 itself that is 17667, so 31473 is deficient (17667 is less than 31473). Euler's totient φ(31473) = 19296 numbers up to 31473 share no factor with it.
- 4
The digits of 31473 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31473 = 3^{2} \times 13 \times 269 \]31473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 19296 |
| Square | 990549729 |
| Cube | 31175571620817 |
| Square root | 177.406313 (= 3√3497) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1473 × |
31473 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and seventy-three |
| Binary (base 2) | 111101011110001 |
| Octal (base 8) | 75361 |
| Hexadecimal (base 16) | 7AF1 |
| Base 3 | 1121011200 |
| As time | 31473 seconds = 8 h 44 min 33 s |
Is 31473 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 (31473 ÷ 3 = 10491) | 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 1) | 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 (31473 ÷ 9 = 3497) | 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 2) | 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 31473 a prime number?
No. 31473 = × 13 × 269, so it is divisible by 3.
What are the factors of 31473?
1, 3, 9, 13, 39, 117, 269, 807, 2421, 3497, 10491, 31473.
What is 31473 in binary?
111101011110001 (hexadecimal 7AF1, octal 75361).
What is the square root of 31473?
About 177.4063, exactly 3√3497.
Is 31473 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31473?
It is a composite number with 12 divisors.