The number 31073
31073 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 193. Divisors (8): 1, 7, 23, 161, 193, 1351, 4439, 31073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31073: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31073 is composite. Its prime factorisation is
- 3
The divisors add up to 37248; without 31073 itself that is 6175, so 31073 is deficient (6175 is less than 31073). Euler's totient φ(31073) = 25344 numbers up to 31073 share no factor with it.
- 4
The digits of 31073 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31073 = 7 \times 23 \times 193 \]
31073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37248 |
| Euler totient φ(n) | 25344 |
| Square | 965531329 |
| Cube | 30001954986017 |
| Square root | 176.275353 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1073 × |
31073 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventy-three |
| Binary (base 2) | 111100101100001 |
| Octal (base 8) | 74541 |
| Hexadecimal (base 16) | 7961 |
| Base 3 | 1120121212 |
| As time | 31073 seconds = 8 h 37 min 53 s |
Is 31073 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31073 ÷ 7 = 4439) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31073 a prime number?
No. 31073 = 7 × 23 × 193, so it is divisible by 7.
What are the factors of 31073?
1, 7, 23, 161, 193, 1351, 4439, 31073.
What is 31073 in binary?
111100101100001 (hexadecimal 7961, octal 74541).
What is the square root of 31073?
About 176.2754.
Is 31073 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31073?
31073 is a happy number: repeatedly adding the squares of its digits reaches 1.