The number 11501
11501 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 53. Divisors (8): 1, 7, 31, 53, 217, 371, 1643, 11501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11501: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11501 is composite. Its prime factorisation is
- 3
The divisors add up to 13824; without 11501 itself that is 2323, so 11501 is deficient (2323 is less than 11501). Euler's totient φ(11501) = 9360 numbers up to 11501 share no factor with it.
- 4
The digits of 11501 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11501 = 7 \times 31 \times 53 \]
11501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13824 |
| Euler totient φ(n) | 9360 |
| Square | 132273001 |
| Cube | 1521271784501 |
| Square root | 107.242715 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.1501 × |
11501 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand five hundred and one |
| Binary (base 2) | 10110011101101 |
| Octal (base 8) | 26355 |
| Hexadecimal (base 16) | 2CED |
| Base 3 | 120202222 |
| As time | 11501 seconds = 3 h 11 min 41 s |
Is 11501 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 | Yes (11501 ÷ 7 = 1643) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11501 a prime number?
No. 11501 = 7 × 31 × 53, so it is divisible by 7.
What are the factors of 11501?
1, 7, 31, 53, 217, 371, 1643, 11501.
What is 11501 in binary?
10110011101101 (hexadecimal 2CED, octal 26355).
What is the square root of 11501?
About 107.2427.
Is 11501 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 11501?
11501 is a happy number: repeatedly adding the squares of its digits reaches 1.