The number 5506
5506 is a composite number with 4 divisors. Its prime factorisation is 2 × 2753. Divisors (4): 1, 2, 2753, 5506.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5506: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 2753, the product of two primes.
- 2
5506 is composite. Its prime factorisation is
- 3
The divisors add up to 8262; without 5506 itself that is 2756, so 5506 is deficient (2756 is less than 5506). Euler's totient φ(5506) = 2752 numbers up to 5506 share no factor with it.
- 4
The digits of 5506 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5506 = 2 \times 2753 \]
5506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8262 |
| Euler totient φ(n) | 2752 |
| Square | 30316036 |
| Cube | 166920094216 |
| Square root | 74.202426 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.506 × |
5506 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and six |
| Binary (base 2) | 1010110000010 |
| Octal (base 8) | 12602 |
| Hexadecimal (base 16) | 1582 |
| Base 3 | 21112221 |
| As time | 5506 seconds = 1 h 31 min 46 s |
Is 5506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5506 ÷ 2 = 2753) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 2) | 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 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5506 a prime number?
No. 5506 = 2 × 2753, so it is divisible by 2.
What are the factors of 5506?
1, 2, 2753, 5506.
What is 5506 in binary?
1010110000010 (hexadecimal 1582, octal 12602).
What is the square root of 5506?
About 74.2024.
Is 5506 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5506?
5506 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 2753, the product of two primes.