The number 55024
55024 is a composite number with 20 divisors. Its prime factorisation is × 19 × 181. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 181, 304, 362, 724, 1448, 2896, 3439 … 55024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55024: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
55024 is composite. Its prime factorisation is
- 3
The divisors add up to 112840; without 55024 itself that is 57816, so 55024 is abundant (57816 is more than 55024). Euler's totient φ(55024) = 25920 numbers up to 55024 share no factor with it.
- 4
The digits of 55024 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55024 = 2^{4} \times 19 \times 181 \]55024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 112840 |
| Euler totient φ(n) | 25920 |
| Square | 3027640576 |
| Cube | 166592895053824 |
| Square root | 234.571951 (= 4√3439) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5024 × |
55024 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and twenty-four |
| Binary (base 2) | 1101011011110000 |
| Octal (base 8) | 153360 |
| Hexadecimal (base 16) | D6F0 |
| Base 3 | 2210110221 |
| As time | 55024 seconds = 15 h 17 min 4 s |
Is 55024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55024 ÷ 2 = 27512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55024 ÷ 4 = 13756) | 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 | No (remainder 4) | 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 | Yes (55024 ÷ 8 = 6878) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55024 a prime number?
No. 55024 = × 19 × 181, so it is divisible by 2.
What are the factors of 55024?
1, 2, 4, 8, 16, 19, 38, 76, 152, 181, 304, 362, 724, 1448, 2896, 3439, 6878, 13756, 27512, 55024.
What is 55024 in binary?
1101011011110000 (hexadecimal D6F0, octal 153360).
What is the square root of 55024?
About 234.5720, exactly 4√3439.
Is 55024 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55024?
55024 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.