The number 55170
55170 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 613. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 613, 1226, 1839, 3065 … 55170.
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How to work it out
- 1
What is special about 55170: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
55170 is composite. Its prime factorisation is
- 3
The divisors add up to 143676; without 55170 itself that is 88506, so 55170 is abundant (88506 is more than 55170). Euler's totient φ(55170) = 14688 numbers up to 55170 share no factor with it.
- 4
The digits of 55170 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55170 = 2 \times 3^{2} \times 5 \times 613 \]55170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 143676 |
| Euler totient φ(n) | 14688 |
| Square | 3043728900 |
| Cube | 167922523413000 |
| Square root | 234.882950 (= 3√6130) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.517 × |
55170 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and seventy |
| Binary (base 2) | 1101011110000010 |
| Octal (base 8) | 153602 |
| Hexadecimal (base 16) | D782 |
| Base 3 | 2210200100 |
| As time | 55170 seconds = 15 h 19 min 30 s |
Is 55170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55170 ÷ 2 = 27585) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55170 ÷ 3 = 18390) | 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 (55170 ÷ 5 = 11034) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55170 ÷ 6 = 9195) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55170 ÷ 9 = 6130) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55170 ÷ 10 = 5517) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55170 a prime number?
No. 55170 = 2 × × 5 × 613, so it is divisible by 2.
What are the factors of 55170?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 613, 1226, 1839, 3065, 3678, 5517, 6130, 9195, 11034, 18390, 27585, 55170.
What is 55170 in binary?
1101011110000010 (hexadecimal D782, octal 153602).
What is the square root of 55170?
About 234.8829, exactly 3√6130.
Is 55170 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55170?
55170 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.