The number 31072
31072 is a composite number with 12 divisors. Its prime factorisation is × 971. Divisors (12): 1, 2, 4, 8, 16, 32, 971, 1942, 3884, 7768, 15536, 31072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31072 is composite. Its prime factorisation is
- 3
The divisors add up to 61236; without 31072 itself that is 30164, so 31072 is deficient (30164 is less than 31072). Euler's totient φ(31072) = 15520 numbers up to 31072 share no factor with it.
- 4
The digits of 31072 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31072 = 2^{5} \times 971 \]31072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61236 |
| Euler totient φ(n) | 15520 |
| Square | 965469184 |
| Cube | 29999058485248 |
| Square root | 176.272516 (= 4√1942) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1072 × |
31072 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventy-two |
| Binary (base 2) | 111100101100000 |
| Octal (base 8) | 74540 |
| Hexadecimal (base 16) | 7960 |
| Base 3 | 1120121211 |
| As time | 31072 seconds = 8 h 37 min 52 s |
Is 31072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31072 ÷ 2 = 15536) | 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 (31072 ÷ 4 = 7768) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 (31072 ÷ 8 = 3884) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 31072 a prime number?
No. 31072 = × 971, so it is divisible by 2.
What are the factors of 31072?
1, 2, 4, 8, 16, 32, 971, 1942, 3884, 7768, 15536, 31072.
What is 31072 in binary?
111100101100000 (hexadecimal 7960, octal 74540).
What is the square root of 31072?
About 176.2725, exactly 4√1942.
Is 31072 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31072?
It is a composite number with 12 divisors.