The number 31972
31972 is a composite number with 6 divisors. Its prime factorisation is × 7993. Divisors (6): 1, 2, 4, 7993, 15986, 31972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31972 is composite. Its prime factorisation is
- 3
The divisors add up to 55958; without 31972 itself that is 23986, so 31972 is deficient (23986 is less than 31972). Euler's totient φ(31972) = 15984 numbers up to 31972 share no factor with it.
- 4
The digits of 31972 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31972 = 2^{2} \times 7993 \]31972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 55958 |
| Euler totient φ(n) | 15984 |
| Square | 1022208784 |
| Cube | 32682059242048 |
| Square root | 178.807159 (= 2√7993) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1972 × |
31972 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and seventy-two |
| Binary (base 2) | 111110011100100 |
| Octal (base 8) | 76344 |
| Hexadecimal (base 16) | 7CE4 |
| Base 3 | 1121212011 |
| As time | 31972 seconds = 8 h 52 min 52 s |
Is 31972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31972 ÷ 2 = 15986) | 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 (31972 ÷ 4 = 7993) | 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 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 | No (remainder 4) | 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 6) | 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 31972 a prime number?
No. 31972 = × 7993, so it is divisible by 2.
What are the factors of 31972?
1, 2, 4, 7993, 15986, 31972.
What is 31972 in binary?
111110011100100 (hexadecimal 7CE4, octal 76344).
What is the square root of 31972?
About 178.8072, exactly 2√7993.
Is 31972 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 31972?
It is a composite number with 6 divisors.