The number 31948
31948 is a composite number with 18 divisors. Its prime factorisation is × × 163. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 163, 196, 326, 652, 1141, 2282, 4564, 7987 … 31948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31948 is composite. Its prime factorisation is
- 3
The divisors add up to 65436; without 31948 itself that is 33488, so 31948 is abundant (33488 is more than 31948). Euler's totient φ(31948) = 13608 numbers up to 31948 share no factor with it.
- 4
The digits of 31948 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31948 = 2^{2} \times 7^{2} \times 163 \]31948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 65436 |
| Euler totient φ(n) | 13608 |
| Square | 1020674704 |
| Cube | 32608515443392 |
| Square root | 178.740035 (= 14√163) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1948 × |
31948 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and forty-eight |
| Binary (base 2) | 111110011001100 |
| Octal (base 8) | 76314 |
| Hexadecimal (base 16) | 7CCC |
| Base 3 | 1121211021 |
| As time | 31948 seconds = 8 h 52 min 28 s |
Is 31948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31948 ÷ 2 = 15974) | 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 (31948 ÷ 4 = 7987) | 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 | Yes (31948 ÷ 7 = 4564) | 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 7) | 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 4) | 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 31948 a prime number?
No. 31948 = × × 163, so it is divisible by 2.
What are the factors of 31948?
1, 2, 4, 7, 14, 28, 49, 98, 163, 196, 326, 652, 1141, 2282, 4564, 7987, 15974, 31948.
What is 31948 in binary?
111110011001100 (hexadecimal 7CCC, octal 76314).
What is the square root of 31948?
About 178.7400, exactly 14√163.
Is 31948 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 31948?
It is a composite number with 18 divisors.