The number 31076
31076 is a composite number with 12 divisors. Its prime factorisation is × 17 × 457. Divisors (12): 1, 2, 4, 17, 34, 68, 457, 914, 1828, 7769, 15538, 31076.
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How to work it out
- 1
What is special about 31076: a Harshad number: divisible by its digit sum 17.
- 2
31076 is composite. Its prime factorisation is
- 3
The divisors add up to 57708; without 31076 itself that is 26632, so 31076 is deficient (26632 is less than 31076). Euler's totient φ(31076) = 14592 numbers up to 31076 share no factor with it.
- 4
The digits of 31076 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31076 = 2^{2} \times 17 \times 457 \]31076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57708 |
| Euler totient φ(n) | 14592 |
| Square | 965717776 |
| Cube | 30010645606976 |
| Square root | 176.283862 (= 2√7769) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.1076 × |
31076 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventy-six |
| Binary (base 2) | 111100101100100 |
| Octal (base 8) | 74544 |
| Hexadecimal (base 16) | 7964 |
| Base 3 | 1120121222 |
| As time | 31076 seconds = 8 h 37 min 56 s |
Is 31076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31076 ÷ 2 = 15538) | 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 (31076 ÷ 4 = 7769) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 31076 a prime number?
No. 31076 = × 17 × 457, so it is divisible by 2.
What are the factors of 31076?
1, 2, 4, 17, 34, 68, 457, 914, 1828, 7769, 15538, 31076.
What is 31076 in binary?
111100101100100 (hexadecimal 7964, octal 74544).
What is the square root of 31076?
About 176.2839, exactly 2√7769.
Is 31076 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31076?
31076 is a Harshad number: divisible by its digit sum 17.