The number 35220
35220 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 587. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 587, 1174, 1761, 2348 … 35220.
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How to work it out
- 1
What is special about 35220: a Harshad number: divisible by its digit sum 12.
- 2
35220 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 35220 itself that is 63564, so 35220 is abundant (63564 is more than 35220). Euler's totient φ(35220) = 9376 numbers up to 35220 share no factor with it.
- 4
The digits of 35220 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35220 = 2^{2} \times 3 \times 5 \times 587 \]35220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 9376 |
| Square | 1240448400 |
| Cube | 43688592648000 |
| Square root | 187.669923 (= 2√8805) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.522 × |
35220 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand two hundred and twenty |
| Binary (base 2) | 1000100110010100 |
| Octal (base 8) | 104624 |
| Hexadecimal (base 16) | 8994 |
| Base 3 | 1210022110 |
| As time | 35220 seconds = 9 h 47 min 0 s |
Is 35220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35220 ÷ 2 = 17610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35220 ÷ 3 = 11740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35220 ÷ 4 = 8805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35220 ÷ 5 = 7044) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35220 ÷ 6 = 5870) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (35220 ÷ 10 = 3522) | 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 | Yes (35220 ÷ 12 = 2935) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35220 a prime number?
No. 35220 = × 3 × 5 × 587, so it is divisible by 2.
What are the factors of 35220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 587, 1174, 1761, 2348, 2935, 3522, 5870, 7044, 8805, 11740, 17610, 35220.
What is 35220 in binary?
1000100110010100 (hexadecimal 8994, octal 104624).
What is the square root of 35220?
About 187.6699, exactly 2√8805.
Is 35220 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 35220?
35220 is a Harshad number: divisible by its digit sum 12.