The number 17220
17220 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 41. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 17220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17220: a Harshad number: divisible by its digit sum 12.
- 2
17220 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 17220 itself that is 39228, so 17220 is abundant (39228 is more than 17220). Euler's totient φ(17220) = 3840 numbers up to 17220 share no factor with it.
- 4
The digits of 17220 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17220 = 2^{2} \times 3 \times 5 \times 7 \times 41 \]17220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 3840 |
| Square | 296528400 |
| Cube | 5106219048000 |
| Square root | 131.224998 (= 2√4305) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.722 × |
17220 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and twenty |
| Binary (base 2) | 100001101000100 |
| Octal (base 8) | 41504 |
| Hexadecimal (base 16) | 4344 |
| Base 3 | 212121210 |
| As time | 17220 seconds = 4 h 47 min 0 s |
Is 17220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17220 ÷ 2 = 8610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17220 ÷ 3 = 5740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17220 ÷ 4 = 4305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17220 ÷ 5 = 3444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17220 ÷ 6 = 2870) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17220 ÷ 7 = 2460) | 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 (17220 ÷ 10 = 1722) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17220 ÷ 12 = 1435) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17220 a prime number?
No. 17220 = × 3 × 5 × 7 × 41, so it is divisible by 2.
What are the factors of 17220?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 41, 42, 60, 70, 82, 84, 105, 123, 140, 164, 205, 210, 246, 287, 410, 420, 492, 574, 615, 820, 861, 1148, 1230, 1435, 1722, 2460, 2870, 3444, 4305, 5740, 8610, 17220.
What is 17220 in binary?
100001101000100 (hexadecimal 4344, octal 41504).
What is the square root of 17220?
About 131.2250, exactly 2√4305.
Is 17220 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 17220?
17220 is a Harshad number: divisible by its digit sum 12.