The number 73073
73073 is a binary palindrome (10001110101110001). Its prime factorisation is 7 × 11 × 13 × 73. Divisors (16): 1, 7, 11, 13, 73, 77, 91, 143, 511, 803, 949, 1001, 5621, 6643, 10439, 73073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73073: a binary palindrome (10001110101110001).
- 2
73073 is composite. Its prime factorisation is
- 3
The divisors add up to 99456; without 73073 itself that is 26383, so 73073 is deficient (26383 is less than 73073). Euler's totient φ(73073) = 51840 numbers up to 73073 share no factor with it.
- 4
The digits of 73073 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73073 = 7 \times 11 \times 13 \times 73 \]
73073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99456 |
| Euler totient φ(n) | 51840 |
| Square | 5339663329 |
| Cube | 390185218440017 |
| Square root | 270.320181 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3073 × |
73073 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and seventy-three |
| Binary (base 2) | 10001110101110001 |
| Octal (base 8) | 216561 |
| Hexadecimal (base 16) | 11D71 |
| Base 3 | 10201020102 |
| As time | 73073 seconds = 20 h 17 min 53 s |
Is 73073 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 (73073 ÷ 7 = 10439) | 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 2) | 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 | Yes (73073 ÷ 11 = 6643) | 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 73073 a prime number?
No. 73073 = 7 × 11 × 13 × 73, so it is divisible by 7.
What are the factors of 73073?
1, 7, 11, 13, 73, 77, 91, 143, 511, 803, 949, 1001, 5621, 6643, 10439, 73073.
What is 73073 in binary?
10001110101110001 (hexadecimal 11D71, octal 216561).
What is the square root of 73073?
About 270.3202.
Is 73073 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73073?
73073 is a binary palindrome (10001110101110001).