The number 31424
31424 is a composite number with 14 divisors. Its prime factorisation is × 491. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 491, 982, 1964, 3928, 7856, 15712, 31424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31424 is composite. Its prime factorisation is
- 3
The divisors add up to 62484; without 31424 itself that is 31060, so 31424 is deficient (31060 is less than 31424). Euler's totient φ(31424) = 15680 numbers up to 31424 share no factor with it.
- 4
The digits of 31424 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31424 = 2^{6} \times 491 \]31424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 62484 |
| Euler totient φ(n) | 15680 |
| Square | 987467776 |
| Cube | 31030187393024 |
| Square root | 177.268158 (= 8√491) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1424 × |
31424 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and twenty-four |
| Binary (base 2) | 111101011000000 |
| Octal (base 8) | 75300 |
| Hexadecimal (base 16) | 7AC0 |
| Base 3 | 1121002212 |
| As time | 31424 seconds = 8 h 43 min 44 s |
Is 31424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31424 ÷ 2 = 15712) | 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 | Yes (31424 ÷ 4 = 7856) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (31424 ÷ 8 = 3928) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31424 a prime number?
No. 31424 = × 491, so it is divisible by 2.
What are the factors of 31424?
1, 2, 4, 8, 16, 32, 64, 491, 982, 1964, 3928, 7856, 15712, 31424.
What is 31424 in binary?
111101011000000 (hexadecimal 7AC0, octal 75300).
What is the square root of 31424?
About 177.2682, exactly 8√491.
Is 31424 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31424?
It is a composite number with 14 divisors.