The number 8201
8201 is a composite number with 4 divisors. Its prime factorisation is 59 × 139. Divisors (4): 1, 59, 139, 8201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8201: a semiprime: 59 × 139, the product of two primes.
- 2
8201 is composite. Its prime factorisation is
- 3
The divisors add up to 8400; without 8201 itself that is 199, so 8201 is deficient (199 is less than 8201). Euler's totient φ(8201) = 8004 numbers up to 8201 share no factor with it.
- 4
The digits of 8201 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8201 = 59 \times 139 \]
8201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8400 |
| Euler totient φ(n) | 8004 |
| Square | 67256401 |
| Cube | 551569744601 |
| Square root | 90.559373 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.201 × |
8201 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and one |
| Binary (base 2) | 10000000001001 |
| Octal (base 8) | 20011 |
| Hexadecimal (base 16) | 2009 |
| Base 3 | 102020202 |
| As time | 8201 seconds = 2 h 16 min 41 s |
Is 8201 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 4) | 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 6) | 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 8201 a prime number?
No. 8201 = 59 × 139, so it is divisible by 59.
What are the factors of 8201?
1, 59, 139, 8201.
What is 8201 in binary?
10000000001001 (hexadecimal 2009, octal 20011).
What is the square root of 8201?
About 90.5594.
Is 8201 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 8201?
8201 is a semiprime: 59 × 139, the product of two primes.