The number 55164
55164 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4597. Divisors (12): 1, 2, 3, 4, 6, 12, 4597, 9194, 13791, 18388, 27582, 55164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55164: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55164 is composite. Its prime factorisation is
- 3
The divisors add up to 128744; without 55164 itself that is 73580, so 55164 is abundant (73580 is more than 55164). Euler's totient φ(55164) = 18384 numbers up to 55164 share no factor with it.
- 4
The digits of 55164 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55164 = 2^{2} \times 3 \times 4597 \]55164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 128744 |
| Euler totient φ(n) | 18384 |
| Square | 3043066896 |
| Cube | 167867742250944 |
| Square root | 234.870177 (= 2√13791) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5164 × |
55164 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and sixty-four |
| Binary (base 2) | 1101011101111100 |
| Octal (base 8) | 153574 |
| Hexadecimal (base 16) | D77C |
| Base 3 | 2210200010 |
| As time | 55164 seconds = 15 h 19 min 24 s |
Is 55164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55164 ÷ 2 = 27582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55164 ÷ 3 = 18388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55164 ÷ 4 = 13791) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55164 ÷ 6 = 9194) | 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 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55164 ÷ 12 = 4597) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55164 a prime number?
No. 55164 = × 3 × 4597, so it is divisible by 2.
What are the factors of 55164?
1, 2, 3, 4, 6, 12, 4597, 9194, 13791, 18388, 27582, 55164.
What is 55164 in binary?
1101011101111100 (hexadecimal D77C, octal 153574).
What is the square root of 55164?
About 234.8702, exactly 2√13791.
Is 55164 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55164?
55164 is a happy number: repeatedly adding the squares of its digits reaches 1.