The number 31888
31888 is a composite number with 10 divisors. Its prime factorisation is × 1993. Divisors (10): 1, 2, 4, 8, 16, 1993, 3986, 7972, 15944, 31888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31888 is composite. Its prime factorisation is
- 3
The divisors add up to 61814; without 31888 itself that is 29926, so 31888 is deficient (29926 is less than 31888). Euler's totient φ(31888) = 15936 numbers up to 31888 share no factor with it.
- 4
The digits of 31888 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31888 = 2^{4} \times 1993 \]31888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 61814 |
| Euler totient φ(n) | 15936 |
| Square | 1016844544 |
| Cube | 32425138819072 |
| Square root | 178.572114 (= 4√1993) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1888 × |
31888 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand eight hundred and eighty-eight |
| Binary (base 2) | 111110010010000 |
| Octal (base 8) | 76220 |
| Hexadecimal (base 16) | 7C90 |
| Base 3 | 1121202001 |
| As time | 31888 seconds = 8 h 51 min 28 s |
Is 31888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31888 ÷ 2 = 15944) | 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 (31888 ÷ 4 = 7972) | 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 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 | Yes (31888 ÷ 8 = 3986) | 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 10) | 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 31888 a prime number?
No. 31888 = × 1993, so it is divisible by 2.
What are the factors of 31888?
1, 2, 4, 8, 16, 1993, 3986, 7972, 15944, 31888.
What is 31888 in binary?
111110010010000 (hexadecimal 7C90, octal 76220).
What is the square root of 31888?
About 178.5721, exactly 4√1993.
Is 31888 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 31888?
It is a composite number with 10 divisors.