The number 5509
5509 is a composite number with 4 divisors. Its prime factorisation is 7 × 787. Divisors (4): 1, 7, 787, 5509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5509: a semiprime: 7 × 787, the product of two primes.
- 2
5509 is composite. Its prime factorisation is
- 3
The divisors add up to 6304; without 5509 itself that is 795, so 5509 is deficient (795 is less than 5509). Euler's totient φ(5509) = 4716 numbers up to 5509 share no factor with it.
- 4
The digits of 5509 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5509 = 7 \times 787 \]
5509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6304 |
| Euler totient φ(n) | 4716 |
| Square | 30349081 |
| Cube | 167193087229 |
| Square root | 74.222638 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.509 × |
5509 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and nine |
| Binary (base 2) | 1010110000101 |
| Octal (base 8) | 12605 |
| Hexadecimal (base 16) | 1585 |
| Base 3 | 21120001 |
| As time | 5509 seconds = 1 h 31 min 49 s |
Is 5509 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5509 ÷ 7 = 787) | 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 5) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5509 a prime number?
No. 5509 = 7 × 787, so it is divisible by 7.
What are the factors of 5509?
1, 7, 787, 5509.
What is 5509 in binary?
1010110000101 (hexadecimal 1585, octal 12605).
What is the square root of 5509?
About 74.2226.
Is 5509 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5509?
5509 is a semiprime: 7 × 787, the product of two primes.