The number 55500
55500 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 37. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 37, 50, 60, 74 … 55500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55500: a Harshad number: divisible by its digit sum 15.
- 2
55500 is composite. Its prime factorisation is
- 3
The divisors add up to 165984; without 55500 itself that is 110484, so 55500 is abundant (110484 is more than 55500). Euler's totient φ(55500) = 14400 numbers up to 55500 share no factor with it.
- 4
The digits of 55500 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55500 = 2^{2} \times 3 \times 5^{3} \times 37 \]55500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 165984 |
| Euler totient φ(n) | 14400 |
| Square | 3080250000 |
| Cube | 170953875000000 |
| Square root | 235.584380 (= 10√555) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.55 × |
55500 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred |
| Binary (base 2) | 1101100011001100 |
| Octal (base 8) | 154314 |
| Hexadecimal (base 16) | D8CC |
| Base 3 | 2211010120 |
| As time | 55500 seconds = 15 h 25 min 0 s |
Is 55500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55500 ÷ 2 = 27750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55500 ÷ 3 = 18500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55500 ÷ 4 = 13875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55500 ÷ 5 = 11100) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55500 ÷ 6 = 9250) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55500 ÷ 10 = 5550) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55500 ÷ 12 = 4625) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55500 a prime number?
No. 55500 = × 3 × × 37, so it is divisible by 2.
What are the factors of 55500?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 37, 50, 60, 74, 75, 100, 111, 125, 148, 150, 185, 222, 250, 300, 370, 375, 444, 500, 555, 740, 750, 925, 1110, 1500, 1850, 2220, 2775, 3700, 4625, 5550, 9250, 11100, 13875, 18500, 27750, 55500.
What is 55500 in binary?
1101100011001100 (hexadecimal D8CC, octal 154314).
What is the square root of 55500?
About 235.5844, exactly 10√555.
Is 55500 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 55500?
55500 is a Harshad number: divisible by its digit sum 15.