The number 13533
13533 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 347. Divisors (8): 1, 3, 13, 39, 347, 1041, 4511, 13533.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13533 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13533 is composite. Its prime factorisation is
- 3
The divisors add up to 19488; without 13533 itself that is 5955, so 13533 is deficient (5955 is less than 13533). Euler's totient φ(13533) = 8304 numbers up to 13533 share no factor with it.
- 4
The digits of 13533 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13533 = 3 \times 13 \times 347 \]
13533 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19488 |
| Euler totient φ(n) | 8304 |
| Square | 183142089 |
| Cube | 2478461890437 |
| Square root | 116.331423 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3533 × |
13533 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and thirty-three |
| Binary (base 2) | 11010011011101 |
| Octal (base 8) | 32335 |
| Hexadecimal (base 16) | 34DD |
| Base 3 | 200120020 |
| As time | 13533 seconds = 3 h 45 min 33 s |
Is 13533 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 | Yes (13533 ÷ 3 = 4511) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13533 a prime number?
No. 13533 = 3 × 13 × 347, so it is divisible by 3.
What are the factors of 13533?
1, 3, 13, 39, 347, 1041, 4511, 13533.
What is 13533 in binary?
11010011011101 (hexadecimal 34DD, octal 32335).
What is the square root of 13533?
About 116.3314.
Is 13533 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13533?
It is a composite number with 8 divisors.