The number 13534
13534 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 101. Divisors (8): 1, 2, 67, 101, 134, 202, 6767, 13534.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13534 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13534 is composite. Its prime factorisation is
- 3
The divisors add up to 20808; without 13534 itself that is 7274, so 13534 is deficient (7274 is less than 13534). Euler's totient φ(13534) = 6600 numbers up to 13534 share no factor with it.
- 4
The digits of 13534 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13534 = 2 \times 67 \times 101 \]
13534 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20808 |
| Euler totient φ(n) | 6600 |
| Square | 183169156 |
| Cube | 2479011357304 |
| Square root | 116.335721 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3534 × |
13534 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and thirty-four |
| Binary (base 2) | 11010011011110 |
| Octal (base 8) | 32336 |
| Hexadecimal (base 16) | 34DE |
| Base 3 | 200120021 |
| As time | 13534 seconds = 3 h 45 min 34 s |
Is 13534 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13534 ÷ 2 = 6767) | 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 | No (remainder 4) | 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 3) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 13534 a prime number?
No. 13534 = 2 × 67 × 101, so it is divisible by 2.
What are the factors of 13534?
1, 2, 67, 101, 134, 202, 6767, 13534.
What is 13534 in binary?
11010011011110 (hexadecimal 34DE, octal 32336).
What is the square root of 13534?
About 116.3357.
Is 13534 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13534?
It is a composite number with 8 divisors.