The number 11201
11201 is a composite number with 4 divisors. Its prime factorisation is 23 × 487. Divisors (4): 1, 23, 487, 11201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11201: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 487, the product of two primes.
- 2
11201 is composite. Its prime factorisation is
- 3
The divisors add up to 11712; without 11201 itself that is 511, so 11201 is deficient (511 is less than 11201). Euler's totient φ(11201) = 10692 numbers up to 11201 share no factor with it.
- 4
The digits of 11201 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11201 = 23 \times 487 \]
11201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11712 |
| Euler totient φ(n) | 10692 |
| Square | 125462401 |
| Cube | 1405304353601 |
| Square root | 105.834777 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1201 × |
11201 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred and one |
| Binary (base 2) | 10101111000001 |
| Octal (base 8) | 25701 |
| Hexadecimal (base 16) | 2BC1 |
| Base 3 | 120100212 |
| As time | 11201 seconds = 3 h 6 min 41 s |
Is 11201 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 1) | 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 3) | 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 11201 a prime number?
No. 11201 = 23 × 487, so it is divisible by 23.
What are the factors of 11201?
1, 23, 487, 11201.
What is 11201 in binary?
10101111000001 (hexadecimal 2BC1, octal 25701).
What is the square root of 11201?
About 105.8348.
Is 11201 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 11201?
11201 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 487, the product of two primes.