The number 31748
31748 is a composite number with 6 divisors. Its prime factorisation is × 7937. Divisors (6): 1, 2, 4, 7937, 15874, 31748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31748 is composite. Its prime factorisation is
- 3
The divisors add up to 55566; without 31748 itself that is 23818, so 31748 is deficient (23818 is less than 31748). Euler's totient φ(31748) = 15872 numbers up to 31748 share no factor with it.
- 4
The digits of 31748 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31748 = 2^{2} \times 7937 \]31748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 55566 |
| Euler totient φ(n) | 15872 |
| Square | 1007935504 |
| Cube | 31999936380992 |
| Square root | 178.179685 (= 2√7937) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1748 × |
31748 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and forty-eight |
| Binary (base 2) | 111110000000100 |
| Octal (base 8) | 76004 |
| Hexadecimal (base 16) | 7C04 |
| Base 3 | 1121112212 |
| As time | 31748 seconds = 8 h 49 min 8 s |
Is 31748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31748 ÷ 2 = 15874) | 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 (31748 ÷ 4 = 7937) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 2) | 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 31748 a prime number?
No. 31748 = × 7937, so it is divisible by 2.
What are the factors of 31748?
1, 2, 4, 7937, 15874, 31748.
What is 31748 in binary?
111110000000100 (hexadecimal 7C04, octal 76004).
What is the square root of 31748?
About 178.1797, exactly 2√7937.
Is 31748 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 31748?
31748 is a happy number: repeatedly adding the squares of its digits reaches 1.