The number 72201
72201 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 587. Divisors (8): 1, 3, 41, 123, 587, 1761, 24067, 72201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72201 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 72201 itself that is 26583, so 72201 is deficient (26583 is less than 72201). Euler's totient φ(72201) = 46880 numbers up to 72201 share no factor with it.
- 4
The digits of 72201 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72201 = 3 \times 41 \times 587 \]
72201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 46880 |
| Square | 5212984401 |
| Cube | 376382686736601 |
| Square root | 268.702438 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2201 × |
72201 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and one |
| Binary (base 2) | 10001101000001001 |
| Octal (base 8) | 215011 |
| Hexadecimal (base 16) | 11A09 |
| Base 3 | 10200001010 |
| As time | 72201 seconds = 20 h 3 min 21 s |
Is 72201 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 (72201 ÷ 3 = 24067) | 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 3) | 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 3) | 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 8) | 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 72201 a prime number?
No. 72201 = 3 × 41 × 587, so it is divisible by 3.
What are the factors of 72201?
1, 3, 41, 123, 587, 1761, 24067, 72201.
What is 72201 in binary?
10001101000001001 (hexadecimal 11A09, octal 215011).
What is the square root of 72201?
About 268.7024.
Is 72201 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 72201?
It is a composite number with 8 divisors.