The number 55000
55000 is a composite number with 40 divisors. Its prime factorisation is × × 11. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100 … 55000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55000: a Harshad number: divisible by its digit sum 10.
- 2
55000 is composite. Its prime factorisation is
- 3
The divisors add up to 140580; without 55000 itself that is 85580, so 55000 is abundant (85580 is more than 55000). Euler's totient φ(55000) = 20000 numbers up to 55000 share no factor with it.
- 4
The digits of 55000 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55000 = 2^{3} \times 5^{4} \times 11 \]55000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 140580 |
| Euler totient φ(n) | 20000 |
| Square | 3025000000 |
| Cube | 166375000000000 |
| Square root | 234.520788 (= 50√22) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5 × |
55000 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand |
| Binary (base 2) | 1101011011011000 |
| Octal (base 8) | 153330 |
| Hexadecimal (base 16) | D6D8 |
| Base 3 | 2210110001 |
| As time | 55000 seconds = 15 h 16 min 40 s |
Is 55000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55000 ÷ 2 = 27500) | 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 (55000 ÷ 4 = 13750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55000 ÷ 5 = 11000) | 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 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 | Yes (55000 ÷ 8 = 6875) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55000 ÷ 10 = 5500) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55000 ÷ 11 = 5000) | 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 55000 a prime number?
No. 55000 = × × 11, so it is divisible by 2.
What are the factors of 55000?
1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 625, 1000, 1100, 1250, 1375, 2200, 2500, 2750, 5000, 5500, 6875, 11000, 13750, 27500, 55000.
What is 55000 in binary?
1101011011011000 (hexadecimal D6D8, octal 153330).
What is the square root of 55000?
About 234.5208, exactly 50√22.
Is 55000 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 55000?
55000 is a Harshad number: divisible by its digit sum 10.