The number 31340
31340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1567. Divisors (12): 1, 2, 4, 5, 10, 20, 1567, 3134, 6268, 7835, 15670, 31340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31340 is composite. Its prime factorisation is
- 3
The divisors add up to 65856; without 31340 itself that is 34516, so 31340 is abundant (34516 is more than 31340). Euler's totient φ(31340) = 12528 numbers up to 31340 share no factor with it.
- 4
The digits of 31340 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31340 = 2^{2} \times 5 \times 1567 \]31340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65856 |
| Euler totient φ(n) | 12528 |
| Square | 982195600 |
| Cube | 30782010104000 |
| Square root | 177.031071 (= 2√7835) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.134 × |
31340 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and forty |
| Binary (base 2) | 111101001101100 |
| Octal (base 8) | 75154 |
| Hexadecimal (base 16) | 7A6C |
| Base 3 | 1120222202 |
| As time | 31340 seconds = 8 h 42 min 20 s |
Is 31340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31340 ÷ 2 = 15670) | 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 (31340 ÷ 4 = 7835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31340 ÷ 5 = 6268) | 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 | No (remainder 4) | 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 | Yes (31340 ÷ 10 = 3134) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31340 a prime number?
No. 31340 = × 5 × 1567, so it is divisible by 2.
What are the factors of 31340?
1, 2, 4, 5, 10, 20, 1567, 3134, 6268, 7835, 15670, 31340.
What is 31340 in binary?
111101001101100 (hexadecimal 7A6C, octal 75154).
What is the square root of 31340?
About 177.0311, exactly 2√7835.
Is 31340 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31340?
It is a composite number with 12 divisors.