The number 31955
31955 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 11 × 83. Divisors (16): 1, 5, 7, 11, 35, 55, 77, 83, 385, 415, 581, 913, 2905, 4565, 6391, 31955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31955 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 31955 itself that is 16429, so 31955 is deficient (16429 is less than 31955). Euler's totient φ(31955) = 19680 numbers up to 31955 share no factor with it.
- 4
The digits of 31955 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31955 = 5 \times 7 \times 11 \times 83 \]
31955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 19680 |
| Square | 1021122025 |
| Cube | 32629954308875 |
| Square root | 178.759615 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.1955 × |
31955 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and fifty-five |
| Binary (base 2) | 111110011010011 |
| Octal (base 8) | 76323 |
| Hexadecimal (base 16) | 7CD3 |
| Base 3 | 1121211112 |
| As time | 31955 seconds = 8 h 52 min 35 s |
Is 31955 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31955 ÷ 5 = 6391) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31955 ÷ 7 = 4565) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31955 ÷ 11 = 2905) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31955 a prime number?
No. 31955 = 5 × 7 × 11 × 83, so it is divisible by 5.
What are the factors of 31955?
1, 5, 7, 11, 35, 55, 77, 83, 385, 415, 581, 913, 2905, 4565, 6391, 31955.
What is 31955 in binary?
111110011010011 (hexadecimal 7CD3, octal 76323).
What is the square root of 31955?
About 178.7596.
Is 31955 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 31955?
It is a composite number with 16 divisors.