The number 13750
13750 is a composite number with 20 divisors. Its prime factorisation is 2 × × 11. Divisors (20): 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 625, 1250 … 13750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13750 is composite. Its prime factorisation is
- 3
The divisors add up to 28116; without 13750 itself that is 14366, so 13750 is abundant (14366 is more than 13750). Euler's totient φ(13750) = 5000 numbers up to 13750 share no factor with it.
- 4
The digits of 13750 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13750 = 2 \times 5^{4} \times 11 \]13750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 28116 |
| Euler totient φ(n) | 5000 |
| Square | 189062500 |
| Cube | 2599609375000 |
| Square root | 117.260394 (= 25√22) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.375 × |
13750 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and fifty |
| Binary (base 2) | 11010110110110 |
| Octal (base 8) | 32666 |
| Hexadecimal (base 16) | 35B6 |
| Base 3 | 200212021 |
| As time | 13750 seconds = 3 h 49 min 10 s |
Is 13750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13750 ÷ 2 = 6875) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13750 ÷ 5 = 2750) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13750 ÷ 10 = 1375) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13750 ÷ 11 = 1250) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13750 a prime number?
No. 13750 = 2 × × 11, so it is divisible by 2.
What are the factors of 13750?
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 625, 1250, 1375, 2750, 6875, 13750.
What is 13750 in binary?
11010110110110 (hexadecimal 35B6, octal 32666).
What is the square root of 13750?
About 117.2604, exactly 25√22.
Is 13750 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13750?
It is a composite number with 20 divisors.