The number 5525
5525 is a composite number with 12 divisors. Its prime factorisation is × 13 × 17. Divisors (12): 1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5525: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
5525 is composite. Its prime factorisation is
- 3
The divisors add up to 7812; without 5525 itself that is 2287, so 5525 is deficient (2287 is less than 5525). Euler's totient φ(5525) = 3840 numbers up to 5525 share no factor with it.
- 4
The digits of 5525 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5525 = 5^{2} \times 13 \times 17 \]5525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7812 |
| Euler totient φ(n) | 3840 |
| Square | 30525625 |
| Cube | 168654078125 |
| Square root | 74.330344 (= 5√221) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.525 × |
5525 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twenty-five |
| Binary (base 2) | 1010110010101 |
| Octal (base 8) | 12625 |
| Hexadecimal (base 16) | 1595 |
| Base 3 | 21120122 |
| As time | 5525 seconds = 1 h 32 min 5 s |
Is 5525 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 (5525 ÷ 5 = 1105) | 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 2) | 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 8) | 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 3) | 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 5525 a prime number?
No. 5525 = × 13 × 17, so it is divisible by 5.
What are the factors of 5525?
1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525.
What is 5525 in binary?
1010110010101 (hexadecimal 1595, octal 12625).
What is the square root of 5525?
About 74.3303, exactly 5√221.
Is 5525 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5525?
5525 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.