The number 55825
55825 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 29. Divisors (24): 1, 5, 7, 11, 25, 29, 35, 55, 77, 145, 175, 203, 275, 319, 385, 725 … 55825.
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How to work it out
- 1
What is special about 55825: a Harshad number: divisible by its digit sum 25.
- 2
55825 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 55825 itself that is 33455, so 55825 is deficient (33455 is less than 55825). Euler's totient φ(55825) = 33600 numbers up to 55825 share no factor with it.
- 4
The digits of 55825 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55825 = 5^{2} \times 7 \times 11 \times 29 \]55825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 33600 |
| Square | 3116430625 |
| Cube | 173974739640625 |
| Square root | 236.273147 (= 5√2233) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5825 × |
55825 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and twenty-five |
| Binary (base 2) | 1101101000010001 |
| Octal (base 8) | 155021 |
| Hexadecimal (base 16) | DA11 |
| Base 3 | 2211120121 |
| As time | 55825 seconds = 15 h 30 min 25 s |
Is 55825 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55825 ÷ 5 = 11165) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55825 ÷ 7 = 7975) | 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55825 ÷ 11 = 5075) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55825 a prime number?
No. 55825 = × 7 × 11 × 29, so it is divisible by 5.
What are the factors of 55825?
1, 5, 7, 11, 25, 29, 35, 55, 77, 145, 175, 203, 275, 319, 385, 725, 1015, 1595, 1925, 2233, 5075, 7975, 11165, 55825.
What is 55825 in binary?
1101101000010001 (hexadecimal DA11, octal 155021).
What is the square root of 55825?
About 236.2731, exactly 5√2233.
Is 55825 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55825?
55825 is a Harshad number: divisible by its digit sum 25.