The number 31493
31493 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 409. Divisors (8): 1, 7, 11, 77, 409, 2863, 4499, 31493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31493 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31493 is composite. Its prime factorisation is
- 3
The divisors add up to 39360; without 31493 itself that is 7867, so 31493 is deficient (7867 is less than 31493). Euler's totient φ(31493) = 24480 numbers up to 31493 share no factor with it.
- 4
The digits of 31493 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31493 = 7 \times 11 \times 409 \]
31493 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39360 |
| Euler totient φ(n) | 24480 |
| Square | 991809049 |
| Cube | 31235042380157 |
| Square root | 177.462672 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1493 × |
31493 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and ninety-three |
| Binary (base 2) | 111101100000101 |
| Octal (base 8) | 75405 |
| Hexadecimal (base 16) | 7B05 |
| Base 3 | 1121012102 |
| As time | 31493 seconds = 8 h 44 min 53 s |
Is 31493 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 (31493 ÷ 7 = 4499) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (31493 ÷ 11 = 2863) | 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 31493 a prime number?
No. 31493 = 7 × 11 × 409, so it is divisible by 7.
What are the factors of 31493?
1, 7, 11, 77, 409, 2863, 4499, 31493.
What is 31493 in binary?
111101100000101 (hexadecimal 7B05, octal 75405).
What is the square root of 31493?
About 177.4627.
Is 31493 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31493?
It is a composite number with 8 divisors.