The number 2201
2201 is a composite number with 4 divisors. Its prime factorisation is 31 × 71. Divisors (4): 1, 31, 71, 2201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2201: a semiprime: 31 × 71, the product of two primes.
- 2
2201 is composite. Its prime factorisation is
- 3
The divisors add up to 2304; without 2201 itself that is 103, so 2201 is deficient (103 is less than 2201). Euler's totient φ(2201) = 2100 numbers up to 2201 share no factor with it.
- 4
The digits of 2201 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2201 = 31 \times 71 \]
2201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2304 |
| Euler totient φ(n) | 2100 |
| Square | 4844401 |
| Cube | 10662526601 |
| Square root | 46.914816 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 2.201 × |
2201 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and one |
| Roman numerals | MMCCI |
| Binary (base 2) | 100010011001 |
| Octal (base 8) | 4231 |
| Hexadecimal (base 16) | 899 |
| Base 3 | 10000112 |
| As time | 2201 seconds = 36 min 41 s |
Is 2201 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 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 5) | 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 1) | 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 2201 a prime number?
No. 2201 = 31 × 71, so it is divisible by 31.
What are the factors of 2201?
1, 31, 71, 2201.
What is 2201 in binary?
100010011001 (hexadecimal 899, octal 4231).
What is the square root of 2201?
About 46.9148.
What is 2201 in Roman numerals?
MMCCI.
Is 2201 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 2201?
2201 is a semiprime: 31 × 71, the product of two primes.