The number 55530
55530 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 617. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 617, 1234, 1851, 3085 … 55530.
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How to work it out
- 1
What is special about 55530: a Harshad number: divisible by its digit sum 18.
- 2
55530 is composite. Its prime factorisation is
- 3
The divisors add up to 144612; without 55530 itself that is 89082, so 55530 is abundant (89082 is more than 55530). Euler's totient φ(55530) = 14784 numbers up to 55530 share no factor with it.
- 4
The digits of 55530 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55530 = 2 \times 3^{2} \times 5 \times 617 \]55530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 144612 |
| Euler totient φ(n) | 14784 |
| Square | 3083580900 |
| Cube | 171231247377000 |
| Square root | 235.648043 (= 3√6170) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.553 × |
55530 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and thirty |
| Binary (base 2) | 1101100011101010 |
| Octal (base 8) | 154352 |
| Hexadecimal (base 16) | D8EA |
| Base 3 | 2211011200 |
| As time | 55530 seconds = 15 h 25 min 30 s |
Is 55530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55530 ÷ 2 = 27765) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55530 ÷ 3 = 18510) | 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 (55530 ÷ 5 = 11106) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55530 ÷ 6 = 9255) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55530 ÷ 9 = 6170) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55530 ÷ 10 = 5553) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 55530 a prime number?
No. 55530 = 2 × × 5 × 617, so it is divisible by 2.
What are the factors of 55530?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 617, 1234, 1851, 3085, 3702, 5553, 6170, 9255, 11106, 18510, 27765, 55530.
What is 55530 in binary?
1101100011101010 (hexadecimal D8EA, octal 154352).
What is the square root of 55530?
About 235.6480, exactly 3√6170.
Is 55530 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55530?
55530 is a Harshad number: divisible by its digit sum 18.