The number 11220
11220 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 11 × 17. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 17, 20, 22, 30, 33, 34 … 11220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11220: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.
- 2
11220 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 11220 itself that is 25068, so 11220 is abundant (25068 is more than 11220). Euler's totient φ(11220) = 2560 numbers up to 11220 share no factor with it.
- 4
The digits of 11220 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11220 = 2^{2} \times 3 \times 5 \times 11 \times 17 \]11220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 2560 |
| Square | 125888400 |
| Cube | 1412467848000 |
| Square root | 105.924501 (= 2√2805) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.122 × |
11220 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred and twenty |
| Binary (base 2) | 10101111010100 |
| Octal (base 8) | 25724 |
| Hexadecimal (base 16) | 2BD4 |
| Base 3 | 120101120 |
| As time | 11220 seconds = 3 h 7 min 0 s |
Is 11220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11220 ÷ 2 = 5610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11220 ÷ 3 = 3740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11220 ÷ 4 = 2805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11220 ÷ 5 = 2244) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11220 ÷ 6 = 1870) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11220 ÷ 10 = 1122) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11220 ÷ 11 = 1020) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11220 ÷ 12 = 935) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11220 a prime number?
No. 11220 = × 3 × 5 × 11 × 17, so it is divisible by 2.
What are the factors of 11220?
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 17, 20, 22, 30, 33, 34, 44, 51, 55, 60, 66, 68, 85, 102, 110, 132, 165, 170, 187, 204, 220, 255, 330, 340, 374, 510, 561, 660, 748, 935, 1020, 1122, 1870, 2244, 2805, 3740, 5610, 11220.
What is 11220 in binary?
10101111010100 (hexadecimal 2BD4, octal 25724).
What is the square root of 11220?
About 105.9245, exactly 2√2805.
Is 11220 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 11220?
11220 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.