The number 73001
73001 is a composite number with 4 divisors. Its prime factorisation is 37 × 1973. Divisors (4): 1, 37, 1973, 73001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73001: a semiprime: 37 × 1973, the product of two primes.
- 2
73001 is composite. Its prime factorisation is
- 3
The divisors add up to 75012; without 73001 itself that is 2011, so 73001 is deficient (2011 is less than 73001). Euler's totient φ(73001) = 70992 numbers up to 73001 share no factor with it.
- 4
The digits of 73001 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73001 = 37 \times 1973 \]
73001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 75012 |
| Euler totient φ(n) | 70992 |
| Square | 5329146001 |
| Cube | 389032987219001 |
| Square root | 270.186972 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.3001 × |
73001 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and one |
| Binary (base 2) | 10001110100101001 |
| Octal (base 8) | 216451 |
| Hexadecimal (base 16) | 11D29 |
| Base 3 | 10201010202 |
| As time | 73001 seconds = 20 h 16 min 41 s |
Is 73001 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 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 | No (remainder 5) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73001 a prime number?
No. 73001 = 37 × 1973, so it is divisible by 37.
What are the factors of 73001?
1, 37, 1973, 73001.
What is 73001 in binary?
10001110100101001 (hexadecimal 11D29, octal 216451).
What is the square root of 73001?
About 270.1870.
Is 73001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 73001?
73001 is a semiprime: 37 × 1973, the product of two primes.