The number 13620
13620 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 227. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 227, 454, 681, 908 … 13620.
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How to work it out
- 1
What is special about 13620: a Harshad number: divisible by its digit sum 12.
- 2
13620 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 13620 itself that is 24684, so 13620 is abundant (24684 is more than 13620). Euler's totient φ(13620) = 3616 numbers up to 13620 share no factor with it.
- 4
The digits of 13620 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13620 = 2^{2} \times 3 \times 5 \times 227 \]13620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 3616 |
| Square | 185504400 |
| Cube | 2526569928000 |
| Square root | 116.704756 (= 2√3405) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.362 × |
13620 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and twenty |
| Binary (base 2) | 11010100110100 |
| Octal (base 8) | 32464 |
| Hexadecimal (base 16) | 3534 |
| Base 3 | 200200110 |
| As time | 13620 seconds = 3 h 47 min 0 s |
Is 13620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13620 ÷ 2 = 6810) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13620 ÷ 3 = 4540) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13620 ÷ 4 = 3405) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13620 ÷ 5 = 2724) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13620 ÷ 6 = 2270) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13620 ÷ 10 = 1362) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13620 ÷ 12 = 1135) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13620 a prime number?
No. 13620 = × 3 × 5 × 227, so it is divisible by 2.
What are the factors of 13620?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 227, 454, 681, 908, 1135, 1362, 2270, 2724, 3405, 4540, 6810, 13620.
What is 13620 in binary?
11010100110100 (hexadecimal 3534, octal 32464).
What is the square root of 13620?
About 116.7048, exactly 2√3405.
Is 13620 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13620?
13620 is a Harshad number: divisible by its digit sum 12.