The number 55875
55875 is a composite number with 16 divisors. Its prime factorisation is 3 × × 149. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 149, 375, 447, 745, 2235, 3725, 11175, 18625, 55875.
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How to work it out
- 1
What is special about 55875: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55875 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 55875 itself that is 37725, so 55875 is deficient (37725 is less than 55875). Euler's totient φ(55875) = 29600 numbers up to 55875 share no factor with it.
- 4
The digits of 55875 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55875 = 3 \times 5^{3} \times 149 \]55875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 29600 |
| Square | 3122015625 |
| Cube | 174442623046875 |
| Square root | 236.378933 (= 5√2235) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5875 × |
55875 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and seventy-five |
| Binary (base 2) | 1101101001000011 |
| Octal (base 8) | 155103 |
| Hexadecimal (base 16) | DA43 |
| Base 3 | 2211122110 |
| As time | 55875 seconds = 15 h 31 min 15 s |
Is 55875 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 | Yes (55875 ÷ 3 = 18625) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55875 ÷ 5 = 11175) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55875 a prime number?
No. 55875 = 3 × × 149, so it is divisible by 3.
What are the factors of 55875?
1, 3, 5, 15, 25, 75, 125, 149, 375, 447, 745, 2235, 3725, 11175, 18625, 55875.
What is 55875 in binary?
1101101001000011 (hexadecimal DA43, octal 155103).
What is the square root of 55875?
About 236.3789, exactly 5√2235.
Is 55875 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55875?
55875 is a happy number: repeatedly adding the squares of its digits reaches 1.