The number 73201
73201 is a composite number with 4 divisors. Its prime factorisation is 71 × 1031. Divisors (4): 1, 71, 1031, 73201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73201: a semiprime: 71 × 1031, the product of two primes.
- 2
73201 is composite. Its prime factorisation is
- 3
The divisors add up to 74304; without 73201 itself that is 1103, so 73201 is deficient (1103 is less than 73201). Euler's totient φ(73201) = 72100 numbers up to 73201 share no factor with it.
- 4
The digits of 73201 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73201 = 71 \times 1031 \]
73201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74304 |
| Euler totient φ(n) | 72100 |
| Square | 5358386401 |
| Cube | 392239242939601 |
| Square root | 270.556833 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3201 × |
73201 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and one |
| Binary (base 2) | 10001110111110001 |
| Octal (base 8) | 216761 |
| Hexadecimal (base 16) | 11DF1 |
| Base 3 | 10201102011 |
| As time | 73201 seconds = 20 h 20 min 1 s |
Is 73201 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 1) | 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 2) | 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 1) | 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 73201 a prime number?
No. 73201 = 71 × 1031, so it is divisible by 71.
What are the factors of 73201?
1, 71, 1031, 73201.
What is 73201 in binary?
10001110111110001 (hexadecimal 11DF1, octal 216761).
What is the square root of 73201?
About 270.5568.
Is 73201 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 73201?
73201 is a semiprime: 71 × 1031, the product of two primes.