The number 13220
13220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 661. Divisors (12): 1, 2, 4, 5, 10, 20, 661, 1322, 2644, 3305, 6610, 13220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13220 is composite. Its prime factorisation is
- 3
The divisors add up to 27804; without 13220 itself that is 14584, so 13220 is abundant (14584 is more than 13220). Euler's totient φ(13220) = 5280 numbers up to 13220 share no factor with it.
- 4
The digits of 13220 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13220 = 2^{2} \times 5 \times 661 \]13220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27804 |
| Euler totient φ(n) | 5280 |
| Square | 174768400 |
| Cube | 2310438248000 |
| Square root | 114.978259 (= 2√3305) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.322 × |
13220 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and twenty |
| Binary (base 2) | 11001110100100 |
| Octal (base 8) | 31644 |
| Hexadecimal (base 16) | 33A4 |
| Base 3 | 200010122 |
| As time | 13220 seconds = 3 h 40 min 20 s |
Is 13220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13220 ÷ 2 = 6610) | 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 | Yes (13220 ÷ 4 = 3305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13220 ÷ 5 = 2644) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13220 ÷ 10 = 1322) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13220 a prime number?
No. 13220 = × 5 × 661, so it is divisible by 2.
What are the factors of 13220?
1, 2, 4, 5, 10, 20, 661, 1322, 2644, 3305, 6610, 13220.
What is 13220 in binary?
11001110100100 (hexadecimal 33A4, octal 31644).
What is the square root of 13220?
About 114.9783, exactly 2√3305.
Is 13220 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13220?
It is a composite number with 12 divisors.