The number 35550
35550 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 79. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 79, 90 … 35550.
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How to work it out
- 1
What is special about 35550: a Harshad number: divisible by its digit sum 18.
- 2
35550 is composite. Its prime factorisation is
- 3
The divisors add up to 96720; without 35550 itself that is 61170, so 35550 is abundant (61170 is more than 35550). Euler's totient φ(35550) = 9360 numbers up to 35550 share no factor with it.
- 4
The digits of 35550 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35550 = 2 \times 3^{2} \times 5^{2} \times 79 \]35550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 96720 |
| Euler totient φ(n) | 9360 |
| Square | 1263802500 |
| Cube | 44928178875000 |
| Square root | 188.547076 (= 15√158) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.555 × |
35550 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand five hundred and fifty |
| Binary (base 2) | 1000101011011110 |
| Octal (base 8) | 105336 |
| Hexadecimal (base 16) | 8ADE |
| Base 3 | 1210202200 |
| As time | 35550 seconds = 9 h 52 min 30 s |
Is 35550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35550 ÷ 2 = 17775) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35550 ÷ 3 = 11850) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35550 ÷ 5 = 7110) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35550 ÷ 6 = 5925) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35550 ÷ 9 = 3950) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35550 ÷ 10 = 3555) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35550 a prime number?
No. 35550 = 2 × × × 79, so it is divisible by 2.
What are the factors of 35550?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 79, 90, 150, 158, 225, 237, 395, 450, 474, 711, 790, 1185, 1422, 1975, 2370, 3555, 3950, 5925, 7110, 11850, 17775, 35550.
What is 35550 in binary?
1000101011011110 (hexadecimal 8ADE, octal 105336).
What is the square root of 35550?
About 188.5471, exactly 15√158.
Is 35550 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35550?
35550 is a Harshad number: divisible by its digit sum 18.