The number 83073
83073 is a composite number with 4 divisors. Its prime factorisation is 3 × 27691. Divisors (4): 1, 3, 27691, 83073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83073: a semiprime: 3 × 27691, the product of two primes.
- 2
83073 is composite. Its prime factorisation is
- 3
The divisors add up to 110768; without 83073 itself that is 27695, so 83073 is deficient (27695 is less than 83073). Euler's totient φ(83073) = 55380 numbers up to 83073 share no factor with it.
- 4
The digits of 83073 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83073 = 3 \times 27691 \]
83073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 110768 |
| Euler totient φ(n) | 55380 |
| Square | 6901123329 |
| Cube | 573297018310017 |
| Square root | 288.223871 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 226 |
| Scientific notation | 8.3073 × |
83073 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and seventy-three |
| Binary (base 2) | 10100010010000001 |
| Octal (base 8) | 242201 |
| Hexadecimal (base 16) | 14481 |
| Base 3 | 11012221210 |
| As time | 83073 seconds = 23 h 4 min 33 s |
Is 83073 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 (83073 ÷ 3 = 27691) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 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 83073 a prime number?
No. 83073 = 3 × 27691, so it is divisible by 3.
What are the factors of 83073?
1, 3, 27691, 83073.
What is 83073 in binary?
10100010010000001 (hexadecimal 14481, octal 242201).
What is the square root of 83073?
About 288.2239.
Is 83073 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83073?
83073 is a semiprime: 3 × 27691, the product of two primes.