The number 28201
28201 is the 3074th prime number. Its only divisors are 1 and 28201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28201: the 3074th prime number.
- 2
28201 is prime, so its only factors are 1 and 28201. It is the 3074th prime; the next prime is 28211 and the one before is 28183.
- 3
The divisors add up to 28202; without 28201 itself that is 1, so 28201 is deficient (1 is less than 28201). Euler's totient φ(28201) = 28200 numbers up to 28201 share no factor with it.
- 4
The digits of 28201 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 134 steps to reach 1.
28201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 28202 |
| Euler totient φ(n) | 28200 |
| Square | 795296401 |
| Cube | 22428153804601 |
| Square root | 167.931534 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.8201 × |
28201 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand two hundred and one |
| Binary (base 2) | 110111000101001 |
| Octal (base 8) | 67051 |
| Hexadecimal (base 16) | 6E29 |
| Base 3 | 1102200111 |
| As time | 28201 seconds = 7 h 50 min 1 s |
Is 28201 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 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 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 8) | 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 28201 a prime number?
Yes. 28201 is divisible only by 1 and itself.
What are the factors of 28201?
1, 28201.
What is 28201 in binary?
110111000101001 (hexadecimal 6E29, octal 67051).
What is the square root of 28201?
About 167.9315.
Is 28201 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 28201?
28201 is the 3074th prime number.