The number 31338
31338 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1741. Divisors (12): 1, 2, 3, 6, 9, 18, 1741, 3482, 5223, 10446, 15669, 31338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31338: a Harshad number: divisible by its digit sum 18.
- 2
31338 is composite. Its prime factorisation is
- 3
The divisors add up to 67938; without 31338 itself that is 36600, so 31338 is abundant (36600 is more than 31338). Euler's totient φ(31338) = 10440 numbers up to 31338 share no factor with it.
- 4
The digits of 31338 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31338 = 2 \times 3^{2} \times 1741 \]31338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67938 |
| Euler totient φ(n) | 10440 |
| Square | 982070244 |
| Cube | 30776117306472 |
| Square root | 177.025422 (= 3√3482) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1338 × |
31338 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty-eight |
| Binary (base 2) | 111101001101010 |
| Octal (base 8) | 75152 |
| Hexadecimal (base 16) | 7A6A |
| Base 3 | 1120222200 |
| As time | 31338 seconds = 8 h 42 min 18 s |
Is 31338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31338 ÷ 2 = 15669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31338 ÷ 3 = 10446) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31338 ÷ 6 = 5223) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31338 ÷ 9 = 3482) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31338 a prime number?
No. 31338 = 2 × × 1741, so it is divisible by 2.
What are the factors of 31338?
1, 2, 3, 6, 9, 18, 1741, 3482, 5223, 10446, 15669, 31338.
What is 31338 in binary?
111101001101010 (hexadecimal 7A6A, octal 75152).
What is the square root of 31338?
About 177.0254, exactly 3√3482.
Is 31338 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31338?
31338 is a Harshad number: divisible by its digit sum 18.