The number 5500
5500 is a composite number with 24 divisors. Its prime factorisation is × × 11. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220 … 5500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5500: a Harshad number: divisible by its digit sum 10.
- 2
5500 is composite. Its prime factorisation is
- 3
The divisors add up to 13104; without 5500 itself that is 7604, so 5500 is abundant (7604 is more than 5500). Euler's totient φ(5500) = 2000 numbers up to 5500 share no factor with it.
- 4
The digits of 5500 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5500 = 2^{2} \times 5^{3} \times 11 \]5500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13104 |
| Euler totient φ(n) | 2000 |
| Square | 30250000 |
| Cube | 166375000000 |
| Square root | 74.161985 (= 10√55) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.5 × |
5500 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred |
| Binary (base 2) | 1010101111100 |
| Octal (base 8) | 12574 |
| Hexadecimal (base 16) | 157C |
| Base 3 | 21112201 |
| As time | 5500 seconds = 1 h 31 min 40 s |
Is 5500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5500 ÷ 2 = 2750) | 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 (5500 ÷ 4 = 1375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5500 ÷ 5 = 1100) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5500 ÷ 10 = 550) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5500 ÷ 11 = 500) | 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 5500 a prime number?
No. 5500 = × × 11, so it is divisible by 2.
What are the factors of 5500?
1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500.
What is 5500 in binary?
1010101111100 (hexadecimal 157C, octal 12574).
What is the square root of 5500?
About 74.1620, exactly 10√55.
Is 5500 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5500?
5500 is a Harshad number: divisible by its digit sum 10.