The number 13502
13502 is a composite number with 8 divisors. Its prime factorisation is 2 × 43 × 157. Divisors (8): 1, 2, 43, 86, 157, 314, 6751, 13502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13502 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13502 is composite. Its prime factorisation is
- 3
The divisors add up to 20856; without 13502 itself that is 7354, so 13502 is deficient (7354 is less than 13502). Euler's totient φ(13502) = 6552 numbers up to 13502 share no factor with it.
- 4
The digits of 13502 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13502 = 2 \times 43 \times 157 \]
13502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20856 |
| Euler totient φ(n) | 6552 |
| Square | 182304004 |
| Cube | 2461468662008 |
| Square root | 116.198107 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3502 × |
13502 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and two |
| Binary (base 2) | 11010010111110 |
| Octal (base 8) | 32276 |
| Hexadecimal (base 16) | 34BE |
| Base 3 | 200112002 |
| As time | 13502 seconds = 3 h 45 min 2 s |
Is 13502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13502 ÷ 2 = 6751) | 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 | No (remainder 2) | 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 6) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 13502 a prime number?
No. 13502 = 2 × 43 × 157, so it is divisible by 2.
What are the factors of 13502?
1, 2, 43, 86, 157, 314, 6751, 13502.
What is 13502 in binary?
11010010111110 (hexadecimal 34BE, octal 32276).
What is the square root of 13502?
About 116.1981.
Is 13502 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13502?
It is a composite number with 8 divisors.