The number 31077
31077 is a composite number with 8 divisors. Its prime factorisation is × 1151. Divisors (8): 1, 3, 9, 27, 1151, 3453, 10359, 31077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31077 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 31077 itself that is 15003, so 31077 is deficient (15003 is less than 31077). Euler's totient φ(31077) = 20700 numbers up to 31077 share no factor with it.
- 4
The digits of 31077 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31077 = 3^{3} \times 1151 \]31077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 20700 |
| Square | 965779929 |
| Cube | 30013542853533 |
| Square root | 176.286698 (= 3√3453) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.1077 × |
31077 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventy-seven |
| Binary (base 2) | 111100101100101 |
| Octal (base 8) | 74545 |
| Hexadecimal (base 16) | 7965 |
| Base 3 | 1120122000 |
| As time | 31077 seconds = 8 h 37 min 57 s |
Is 31077 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 | Yes (31077 ÷ 3 = 10359) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31077 ÷ 9 = 3453) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31077 a prime number?
No. 31077 = × 1151, so it is divisible by 3.
What are the factors of 31077?
1, 3, 9, 27, 1151, 3453, 10359, 31077.
What is 31077 in binary?
111100101100101 (hexadecimal 7965, octal 74545).
What is the square root of 31077?
About 176.2867, exactly 3√3453.
Is 31077 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31077?
It is a composite number with 8 divisors.