The number 31116
31116 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2593. Divisors (12): 1, 2, 3, 4, 6, 12, 2593, 5186, 7779, 10372, 15558, 31116.
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How to work it out
- 1
What is special about 31116: a Harshad number: divisible by its digit sum 12.
- 2
31116 is composite. Its prime factorisation is
- 3
The divisors add up to 72632; without 31116 itself that is 41516, so 31116 is abundant (41516 is more than 31116). Euler's totient φ(31116) = 10368 numbers up to 31116 share no factor with it.
- 4
The digits of 31116 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31116 = 2^{2} \times 3 \times 2593 \]31116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72632 |
| Euler totient φ(n) | 10368 |
| Square | 968205456 |
| Cube | 30126680968896 |
| Square root | 176.397279 (= 2√7779) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1116 × |
31116 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and sixteen |
| Binary (base 2) | 111100110001100 |
| Octal (base 8) | 74614 |
| Hexadecimal (base 16) | 798C |
| Base 3 | 1120200110 |
| As time | 31116 seconds = 8 h 38 min 36 s |
Is 31116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31116 ÷ 2 = 15558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31116 ÷ 3 = 10372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31116 ÷ 4 = 7779) | 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 | Yes (31116 ÷ 6 = 5186) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31116 ÷ 12 = 2593) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31116 a prime number?
No. 31116 = × 3 × 2593, so it is divisible by 2.
What are the factors of 31116?
1, 2, 3, 4, 6, 12, 2593, 5186, 7779, 10372, 15558, 31116.
What is 31116 in binary?
111100110001100 (hexadecimal 798C, octal 74614).
What is the square root of 31116?
About 176.3973, exactly 2√7779.
Is 31116 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31116?
31116 is a Harshad number: divisible by its digit sum 12.