The number 73931
73931 is a composite number with 12 divisors. Its prime factorisation is × 13 × 47. Divisors (12): 1, 11, 13, 47, 121, 143, 517, 611, 1573, 5687, 6721, 73931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73931 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73931 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 73931 itself that is 15445, so 73931 is deficient (15445 is less than 73931). Euler's totient φ(73931) = 60720 numbers up to 73931 share no factor with it.
- 4
The digits of 73931 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 231 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73931 = 11^{2} \times 13 \times 47 \]73931 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 60720 |
| Square | 5465792761 |
| Cube | 404091524613491 |
| Square root | 271.902556 (= 11√611) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.3931 × |
73931 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and thirty-one |
| Binary (base 2) | 10010000011001011 |
| Octal (base 8) | 220313 |
| Hexadecimal (base 16) | 120CB |
| Base 3 | 10202102012 |
| As time | 73931 seconds = 20 h 32 min 11 s |
Is 73931 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 3) | 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 5) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73931 ÷ 11 = 6721) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73931 a prime number?
No. 73931 = × 13 × 47, so it is divisible by 11.
What are the factors of 73931?
1, 11, 13, 47, 121, 143, 517, 611, 1573, 5687, 6721, 73931.
What is 73931 in binary?
10010000011001011 (hexadecimal 120CB, octal 220313).
What is the square root of 73931?
About 271.9026, exactly 11√611.
Is 73931 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73931?
It is a composite number with 12 divisors.