The number 31406
31406 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 383. Divisors (8): 1, 2, 41, 82, 383, 766, 15703, 31406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31406 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 31406 itself that is 16978, so 31406 is deficient (16978 is less than 31406). Euler's totient φ(31406) = 15280 numbers up to 31406 share no factor with it.
- 4
The digits of 31406 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31406 = 2 \times 41 \times 383 \]
31406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 15280 |
| Square | 986336836 |
| Cube | 30976894671416 |
| Square root | 177.217381 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1406 × |
31406 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and six |
| Binary (base 2) | 111101010101110 |
| Octal (base 8) | 75256 |
| Hexadecimal (base 16) | 7AAE |
| Base 3 | 1121002012 |
| As time | 31406 seconds = 8 h 43 min 26 s |
Is 31406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31406 ÷ 2 = 15703) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31406 a prime number?
No. 31406 = 2 × 41 × 383, so it is divisible by 2.
What are the factors of 31406?
1, 2, 41, 82, 383, 766, 15703, 31406.
What is 31406 in binary?
111101010101110 (hexadecimal 7AAE, octal 75256).
What is the square root of 31406?
About 177.2174.
Is 31406 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31406?
It is a composite number with 8 divisors.