The number 5585
5585 is a composite number with 4 divisors. Its prime factorisation is 5 × 1117. Divisors (4): 1, 5, 1117, 5585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5585: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 1117, the product of two primes.
- 2
5585 is composite. Its prime factorisation is
- 3
The divisors add up to 6708; without 5585 itself that is 1123, so 5585 is deficient (1123 is less than 5585). Euler's totient φ(5585) = 4464 numbers up to 5585 share no factor with it.
- 4
The digits of 5585 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5585 = 5 \times 1117 \]
5585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6708 |
| Euler totient φ(n) | 4464 |
| Square | 31192225 |
| Cube | 174208576625 |
| Square root | 74.732858 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.585 × |
5585 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and eighty-five |
| Binary (base 2) | 1010111010001 |
| Octal (base 8) | 12721 |
| Hexadecimal (base 16) | 15D1 |
| Base 3 | 21122212 |
| As time | 5585 seconds = 1 h 33 min 5 s |
Is 5585 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 2) | 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 | Yes (5585 ÷ 5 = 1117) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5585 a prime number?
No. 5585 = 5 × 1117, so it is divisible by 5.
What are the factors of 5585?
1, 5, 1117, 5585.
What is 5585 in binary?
1010111010001 (hexadecimal 15D1, octal 12721).
What is the square root of 5585?
About 74.7329.
Is 5585 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5585?
5585 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 1117, the product of two primes.