The number 31772
31772 is a composite number with 18 divisors. Its prime factorisation is × × 47. Divisors (18): 1, 2, 4, 13, 26, 47, 52, 94, 169, 188, 338, 611, 676, 1222, 2444, 7943 … 31772.
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How to work it out
- 1
31772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31772 is composite. Its prime factorisation is
- 3
The divisors add up to 61488; without 31772 itself that is 29716, so 31772 is deficient (29716 is less than 31772). Euler's totient φ(31772) = 14352 numbers up to 31772 share no factor with it.
- 4
The digits of 31772 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31772 = 2^{2} \times 13^{2} \times 47 \]31772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 61488 |
| Euler totient φ(n) | 14352 |
| Square | 1009459984 |
| Cube | 32072562611648 |
| Square root | 178.247020 (= 26√47) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1772 × |
31772 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and seventy-two |
| Binary (base 2) | 111110000011100 |
| Octal (base 8) | 76034 |
| Hexadecimal (base 16) | 7C1C |
| Base 3 | 1121120202 |
| As time | 31772 seconds = 8 h 49 min 32 s |
Is 31772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31772 ÷ 2 = 15886) | 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 | Yes (31772 ÷ 4 = 7943) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31772 a prime number?
No. 31772 = × × 47, so it is divisible by 2.
What are the factors of 31772?
1, 2, 4, 13, 26, 47, 52, 94, 169, 188, 338, 611, 676, 1222, 2444, 7943, 15886, 31772.
What is 31772 in binary?
111110000011100 (hexadecimal 7C1C, octal 76034).
What is the square root of 31772?
About 178.2470, exactly 26√47.
Is 31772 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31772?
It is a composite number with 18 divisors.