The number 31348
31348 is a composite number with 12 divisors. Its prime factorisation is × 17 × 461. Divisors (12): 1, 2, 4, 17, 34, 68, 461, 922, 1844, 7837, 15674, 31348.
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How to work it out
- 1
31348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31348 is composite. Its prime factorisation is
- 3
The divisors add up to 58212; without 31348 itself that is 26864, so 31348 is deficient (26864 is less than 31348). Euler's totient φ(31348) = 14720 numbers up to 31348 share no factor with it.
- 4
The digits of 31348 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31348 = 2^{2} \times 17 \times 461 \]31348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58212 |
| Euler totient φ(n) | 14720 |
| Square | 982697104 |
| Cube | 30805588816192 |
| Square root | 177.053664 (= 2√7837) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1348 × |
31348 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and forty-eight |
| Binary (base 2) | 111101001110100 |
| Octal (base 8) | 75164 |
| Hexadecimal (base 16) | 7A74 |
| Base 3 | 1121000001 |
| As time | 31348 seconds = 8 h 42 min 28 s |
Is 31348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31348 ÷ 2 = 15674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31348 ÷ 4 = 7837) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31348 a prime number?
No. 31348 = × 17 × 461, so it is divisible by 2.
What are the factors of 31348?
1, 2, 4, 17, 34, 68, 461, 922, 1844, 7837, 15674, 31348.
What is 31348 in binary?
111101001110100 (hexadecimal 7A74, octal 75164).
What is the square root of 31348?
About 177.0537, exactly 2√7837.
Is 31348 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31348?
It is a composite number with 12 divisors.