The number 13503
13503 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 643. Divisors (8): 1, 3, 7, 21, 643, 1929, 4501, 13503.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13503: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13503 is composite. Its prime factorisation is
- 3
The divisors add up to 20608; without 13503 itself that is 7105, so 13503 is deficient (7105 is less than 13503). Euler's totient φ(13503) = 7704 numbers up to 13503 share no factor with it.
- 4
The digits of 13503 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13503 = 3 \times 7 \times 643 \]
13503 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20608 |
| Euler totient φ(n) | 7704 |
| Square | 182331009 |
| Cube | 2462015614527 |
| Square root | 116.202410 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.3503 × |
13503 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and three |
| Binary (base 2) | 11010010111111 |
| Octal (base 8) | 32277 |
| Hexadecimal (base 16) | 34BF |
| Base 3 | 200112010 |
| As time | 13503 seconds = 3 h 45 min 3 s |
Is 13503 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 (13503 ÷ 3 = 4501) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (13503 ÷ 7 = 1929) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13503 a prime number?
No. 13503 = 3 × 7 × 643, so it is divisible by 3.
What are the factors of 13503?
1, 3, 7, 21, 643, 1929, 4501, 13503.
What is 13503 in binary?
11010010111111 (hexadecimal 34BF, octal 32277).
What is the square root of 13503?
About 116.2024.
Is 13503 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13503?
13503 is a happy number: repeatedly adding the squares of its digits reaches 1.