The number 31065
31065 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 19 × 109. Divisors (16): 1, 3, 5, 15, 19, 57, 95, 109, 285, 327, 545, 1635, 2071, 6213, 10355, 31065.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31065: a Harshad number: divisible by its digit sum 15.
- 2
31065 is composite. Its prime factorisation is
- 3
The divisors add up to 52800; without 31065 itself that is 21735, so 31065 is deficient (21735 is less than 31065). Euler's totient φ(31065) = 15552 numbers up to 31065 share no factor with it.
- 4
The digits of 31065 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31065 = 3 \times 5 \times 19 \times 109 \]
31065 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52800 |
| Euler totient φ(n) | 15552 |
| Square | 965034225 |
| Cube | 29978788199625 |
| Square root | 176.252660 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1065 × |
31065 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and sixty-five |
| Binary (base 2) | 111100101011001 |
| Octal (base 8) | 74531 |
| Hexadecimal (base 16) | 7959 |
| Base 3 | 1120121120 |
| As time | 31065 seconds = 8 h 37 min 45 s |
Is 31065 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 (31065 ÷ 3 = 10355) | 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 | Yes (31065 ÷ 5 = 6213) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31065 a prime number?
No. 31065 = 3 × 5 × 19 × 109, so it is divisible by 3.
What are the factors of 31065?
1, 3, 5, 15, 19, 57, 95, 109, 285, 327, 545, 1635, 2071, 6213, 10355, 31065.
What is 31065 in binary?
111100101011001 (hexadecimal 7959, octal 74531).
What is the square root of 31065?
About 176.2527.
Is 31065 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31065?
31065 is a Harshad number: divisible by its digit sum 15.