The number 5325
5325 is a composite number with 12 divisors. Its prime factorisation is 3 × × 71. Divisors (12): 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5325: a Harshad number: divisible by its digit sum 15.
- 2
5325 is composite. Its prime factorisation is
- 3
The divisors add up to 8928; without 5325 itself that is 3603, so 5325 is deficient (3603 is less than 5325). Euler's totient φ(5325) = 2800 numbers up to 5325 share no factor with it.
- 4
The digits of 5325 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5325 = 3 \times 5^{2} \times 71 \]5325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8928 |
| Euler totient φ(n) | 2800 |
| Square | 28355625 |
| Cube | 150993703125 |
| Square root | 72.972598 (= 5√213) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.325 × |
5325 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and twenty-five |
| Binary (base 2) | 1010011001101 |
| Octal (base 8) | 12315 |
| Hexadecimal (base 16) | 14CD |
| Base 3 | 21022020 |
| As time | 5325 seconds = 1 h 28 min 45 s |
Is 5325 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 | Yes (5325 ÷ 3 = 1775) | 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 (5325 ÷ 5 = 1065) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5325 a prime number?
No. 5325 = 3 × × 71, so it is divisible by 3.
What are the factors of 5325?
1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325.
What is 5325 in binary?
1010011001101 (hexadecimal 14CD, octal 12315).
What is the square root of 5325?
About 72.9726, exactly 5√213.
Is 5325 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5325?
5325 is a Harshad number: divisible by its digit sum 15.