The number 73023
73023 is a composite number with 8 divisors. Its prime factorisation is 3 × 101 × 241. Divisors (8): 1, 3, 101, 241, 303, 723, 24341, 73023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73023 is composite. Its prime factorisation is
- 3
The divisors add up to 98736; without 73023 itself that is 25713, so 73023 is deficient (25713 is less than 73023). Euler's totient φ(73023) = 48000 numbers up to 73023 share no factor with it.
- 4
The digits of 73023 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73023 = 3 \times 101 \times 241 \]
73023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 98736 |
| Euler totient φ(n) | 48000 |
| Square | 5332358529 |
| Cube | 389384816863167 |
| Square root | 270.227682 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.3023 × |
73023 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and twenty-three |
| Binary (base 2) | 10001110100111111 |
| Octal (base 8) | 216477 |
| Hexadecimal (base 16) | 11D3F |
| Base 3 | 10201011120 |
| As time | 73023 seconds = 20 h 17 min 3 s |
Is 73023 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 (73023 ÷ 3 = 24341) | 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 3) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73023 a prime number?
No. 73023 = 3 × 101 × 241, so it is divisible by 3.
What are the factors of 73023?
1, 3, 101, 241, 303, 723, 24341, 73023.
What is 73023 in binary?
10001110100111111 (hexadecimal 11D3F, octal 216477).
What is the square root of 73023?
About 270.2277.
Is 73023 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 73023?
It is a composite number with 8 divisors.