The number 73031
73031 is a composite number with 4 divisors. Its prime factorisation is 7 × 10433. Divisors (4): 1, 7, 10433, 73031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73031: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10433, the product of two primes.
- 2
73031 is composite. Its prime factorisation is
- 3
The divisors add up to 83472; without 73031 itself that is 10441, so 73031 is deficient (10441 is less than 73031). Euler's totient φ(73031) = 62592 numbers up to 73031 share no factor with it.
- 4
The digits of 73031 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73031 = 7 \times 10433 \]
73031 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83472 |
| Euler totient φ(n) | 62592 |
| Square | 5333526961 |
| Cube | 389512807488791 |
| Square root | 270.242484 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3031 × |
73031 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and thirty-one |
| Binary (base 2) | 10001110101000111 |
| Octal (base 8) | 216507 |
| Hexadecimal (base 16) | 11D47 |
| Base 3 | 10201011212 |
| As time | 73031 seconds = 20 h 17 min 11 s |
Is 73031 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 | Yes (73031 ÷ 7 = 10433) | 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 7) | 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 | No (remainder 2) | 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 73031 a prime number?
No. 73031 = 7 × 10433, so it is divisible by 7.
What are the factors of 73031?
1, 7, 10433, 73031.
What is 73031 in binary?
10001110101000111 (hexadecimal 11D47, octal 216507).
What is the square root of 73031?
About 270.2425.
Is 73031 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73031?
73031 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10433, the product of two primes.