The number 13210
13210 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1321. Divisors (8): 1, 2, 5, 10, 1321, 2642, 6605, 13210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13210 is composite. Its prime factorisation is
- 3
The divisors add up to 23796; without 13210 itself that is 10586, so 13210 is deficient (10586 is less than 13210). Euler's totient φ(13210) = 5280 numbers up to 13210 share no factor with it.
- 4
The digits of 13210 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13210 = 2 \times 5 \times 1321 \]
13210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23796 |
| Euler totient φ(n) | 5280 |
| Square | 174504100 |
| Cube | 2305199161000 |
| Square root | 114.934764 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.321 × |
13210 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and ten |
| Binary (base 2) | 11001110011010 |
| Octal (base 8) | 31632 |
| Hexadecimal (base 16) | 339A |
| Base 3 | 200010021 |
| As time | 13210 seconds = 3 h 40 min 10 s |
Is 13210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13210 ÷ 2 = 6605) | 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 | Yes (13210 ÷ 5 = 2642) | 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 1) | 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 2) | 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 | Yes (13210 ÷ 10 = 1321) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 13210 a prime number?
No. 13210 = 2 × 5 × 1321, so it is divisible by 2.
What are the factors of 13210?
1, 2, 5, 10, 1321, 2642, 6605, 13210.
What is 13210 in binary?
11001110011010 (hexadecimal 339A, octal 31632).
What is the square root of 13210?
About 114.9348.
Is 13210 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 13210?
It is a composite number with 8 divisors.