The number 13528
13528 is a composite number with 16 divisors. Its prime factorisation is × 19 × 89. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 89, 152, 178, 356, 712, 1691, 3382, 6764, 13528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13528: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
13528 is composite. Its prime factorisation is
- 3
The divisors add up to 27000; without 13528 itself that is 13472, so 13528 is deficient (13472 is less than 13528). Euler's totient φ(13528) = 6336 numbers up to 13528 share no factor with it.
- 4
The digits of 13528 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13528 = 2^{3} \times 19 \times 89 \]13528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27000 |
| Euler totient φ(n) | 6336 |
| Square | 183006784 |
| Cube | 2475715773952 |
| Square root | 116.309931 (= 2√3382) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3528 × |
13528 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and twenty-eight |
| Binary (base 2) | 11010011011000 |
| Octal (base 8) | 32330 |
| Hexadecimal (base 16) | 34D8 |
| Base 3 | 200120001 |
| As time | 13528 seconds = 3 h 45 min 28 s |
Is 13528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13528 ÷ 2 = 6764) | 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 | Yes (13528 ÷ 4 = 3382) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 | Yes (13528 ÷ 8 = 1691) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13528 a prime number?
No. 13528 = × 19 × 89, so it is divisible by 2.
What are the factors of 13528?
1, 2, 4, 8, 19, 38, 76, 89, 152, 178, 356, 712, 1691, 3382, 6764, 13528.
What is 13528 in binary?
11010011011000 (hexadecimal 34D8, octal 32330).
What is the square root of 13528?
About 116.3099, exactly 2√3382.
Is 13528 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13528?
13528 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.