The number 13250
13250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 53. Divisors (16): 1, 2, 5, 10, 25, 50, 53, 106, 125, 250, 265, 530, 1325, 2650, 6625, 13250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13250 is composite. Its prime factorisation is
- 3
The divisors add up to 25272; without 13250 itself that is 12022, so 13250 is deficient (12022 is less than 13250). Euler's totient φ(13250) = 5200 numbers up to 13250 share no factor with it.
- 4
The digits of 13250 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13250 = 2 \times 5^{3} \times 53 \]13250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25272 |
| Euler totient φ(n) | 5200 |
| Square | 175562500 |
| Cube | 2326203125000 |
| Square root | 115.108644 (= 5√530) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.325 × |
13250 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and fifty |
| Binary (base 2) | 11001111000010 |
| Octal (base 8) | 31702 |
| Hexadecimal (base 16) | 33C2 |
| Base 3 | 200011202 |
| As time | 13250 seconds = 3 h 40 min 50 s |
Is 13250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13250 ÷ 2 = 6625) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13250 ÷ 5 = 2650) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 | Yes (13250 ÷ 10 = 1325) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13250 a prime number?
No. 13250 = 2 × × 53, so it is divisible by 2.
What are the factors of 13250?
1, 2, 5, 10, 25, 50, 53, 106, 125, 250, 265, 530, 1325, 2650, 6625, 13250.
What is 13250 in binary?
11001111000010 (hexadecimal 33C2, octal 31702).
What is the square root of 13250?
About 115.1086, exactly 5√530.
Is 13250 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13250?
It is a composite number with 16 divisors.