The number 31960
31960 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 47. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 47, 68, 85, 94, 136, 170 … 31960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31960 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 31960 itself that is 45800, so 31960 is abundant (45800 is more than 31960). Euler's totient φ(31960) = 11776 numbers up to 31960 share no factor with it.
- 4
The digits of 31960 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31960 = 2^{3} \times 5 \times 17 \times 47 \]31960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 11776 |
| Square | 1021441600 |
| Cube | 32645273536000 |
| Square root | 178.773600 (= 2√7990) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.196 × |
31960 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and sixty |
| Binary (base 2) | 111110011011000 |
| Octal (base 8) | 76330 |
| Hexadecimal (base 16) | 7CD8 |
| Base 3 | 1121211201 |
| As time | 31960 seconds = 8 h 52 min 40 s |
Is 31960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31960 ÷ 2 = 15980) | 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 (31960 ÷ 4 = 7990) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31960 ÷ 5 = 6392) | 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 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 (31960 ÷ 8 = 3995) | 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 | Yes (31960 ÷ 10 = 3196) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 31960 a prime number?
No. 31960 = × 5 × 17 × 47, so it is divisible by 2.
What are the factors of 31960?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 47, 68, 85, 94, 136, 170, 188, 235, 340, 376, 470, 680, 799, 940, 1598, 1880, 3196, 3995, 6392, 7990, 15980, 31960.
What is 31960 in binary?
111110011011000 (hexadecimal 7CD8, octal 76330).
What is the square root of 31960?
About 178.7736, exactly 2√7990.
Is 31960 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31960?
It is a composite number with 32 divisors.