The number 73993
73993 is a binary palindrome (10010000100001001). Its prime factorisation is 61 × 1213. Divisors (4): 1, 61, 1213, 73993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73993: a binary palindrome (10010000100001001); a semiprime: 61 × 1213, the product of two primes.
- 2
73993 is composite. Its prime factorisation is
- 3
The divisors add up to 75268; without 73993 itself that is 1275, so 73993 is deficient (1275 is less than 73993). Euler's totient φ(73993) = 72720 numbers up to 73993 share no factor with it.
- 4
The digits of 73993 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73993 = 61 \times 1213 \]
73993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 75268 |
| Euler totient φ(n) | 72720 |
| Square | 5474964049 |
| Cube | 405109014877657 |
| Square root | 272.016544 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3993 × |
73993 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and ninety-three |
| Binary (base 2) | 10010000100001001 |
| Octal (base 8) | 220411 |
| Hexadecimal (base 16) | 12109 |
| Base 3 | 10202111111 |
| As time | 73993 seconds = 20 h 33 min 13 s |
Is 73993 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73993 a prime number?
No. 73993 = 61 × 1213, so it is divisible by 61.
What are the factors of 73993?
1, 61, 1213, 73993.
What is 73993 in binary?
10010000100001001 (hexadecimal 12109, octal 220411).
What is the square root of 73993?
About 272.0165.
Is 73993 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 73993?
73993 is a binary palindrome (10010000100001001); a semiprime: 61 × 1213, the product of two primes.