The number 31848
31848 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1327. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1327, 2654, 3981, 5308, 7962, 10616, 15924, 31848.
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How to work it out
- 1
What is special about 31848: a Harshad number: divisible by its digit sum 24.
- 2
31848 is composite. Its prime factorisation is
- 3
The divisors add up to 79680; without 31848 itself that is 47832, so 31848 is abundant (47832 is more than 31848). Euler's totient φ(31848) = 10608 numbers up to 31848 share no factor with it.
- 4
The digits of 31848 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31848 = 2^{3} \times 3 \times 1327 \]31848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79680 |
| Euler totient φ(n) | 10608 |
| Square | 1014295104 |
| Cube | 32303270472192 |
| Square root | 178.460080 (= 2√7962) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.1848 × |
31848 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand eight hundred and forty-eight |
| Binary (base 2) | 111110001101000 |
| Octal (base 8) | 76150 |
| Hexadecimal (base 16) | 7C68 |
| Base 3 | 1121200120 |
| As time | 31848 seconds = 8 h 50 min 48 s |
Is 31848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31848 ÷ 2 = 15924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31848 ÷ 3 = 10616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31848 ÷ 4 = 7962) | 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 (31848 ÷ 6 = 5308) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (31848 ÷ 8 = 3981) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31848 ÷ 12 = 2654) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31848 a prime number?
No. 31848 = × 3 × 1327, so it is divisible by 2.
What are the factors of 31848?
1, 2, 3, 4, 6, 8, 12, 24, 1327, 2654, 3981, 5308, 7962, 10616, 15924, 31848.
What is 31848 in binary?
111110001101000 (hexadecimal 7C68, octal 76150).
What is the square root of 31848?
About 178.4601, exactly 2√7962.
Is 31848 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 31848?
31848 is a Harshad number: divisible by its digit sum 24.