The number 55524
55524 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 661. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 661, 1322, 1983, 2644 … 55524.
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How to work it out
- 1
What is special about 55524: a Harshad number: divisible by its digit sum 21.
- 2
55524 is composite. Its prime factorisation is
- 3
The divisors add up to 148288; without 55524 itself that is 92764, so 55524 is abundant (92764 is more than 55524). Euler's totient φ(55524) = 15840 numbers up to 55524 share no factor with it.
- 4
The digits of 55524 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55524 = 2^{2} \times 3 \times 7 \times 661 \]55524 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 148288 |
| Euler totient φ(n) | 15840 |
| Square | 3082914576 |
| Cube | 171175748917824 |
| Square root | 235.635311 (= 2√13881) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5524 × |
55524 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and twenty-four |
| Binary (base 2) | 1101100011100100 |
| Octal (base 8) | 154344 |
| Hexadecimal (base 16) | D8E4 |
| Base 3 | 2211011110 |
| As time | 55524 seconds = 15 h 25 min 24 s |
Is 55524 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55524 ÷ 2 = 27762) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55524 ÷ 3 = 18508) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55524 ÷ 4 = 13881) | 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 (55524 ÷ 6 = 9254) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55524 ÷ 7 = 7932) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55524 ÷ 12 = 4627) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55524 a prime number?
No. 55524 = × 3 × 7 × 661, so it is divisible by 2.
What are the factors of 55524?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 661, 1322, 1983, 2644, 3966, 4627, 7932, 9254, 13881, 18508, 27762, 55524.
What is 55524 in binary?
1101100011100100 (hexadecimal D8E4, octal 154344).
What is the square root of 55524?
About 235.6353, exactly 2√13881.
Is 55524 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55524?
55524 is a Harshad number: divisible by its digit sum 21.