The number 3525
3525 is a composite number with 12 divisors. Its prime factorisation is 3 × × 47. Divisors (12): 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3525: a Harshad number: divisible by its digit sum 15.
- 2
3525 is composite. Its prime factorisation is
- 3
The divisors add up to 5952; without 3525 itself that is 2427, so 3525 is deficient (2427 is less than 3525). Euler's totient φ(3525) = 1840 numbers up to 3525 share no factor with it.
- 4
The digits of 3525 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 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3525 = 3 \times 5^{2} \times 47 \]3525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5952 |
| Euler totient φ(n) | 1840 |
| Square | 12425625 |
| Cube | 43800328125 |
| Square root | 59.371710 (= 5√141) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.525 × |
3525 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and twenty-five |
| Roman numerals | MMMDXXV |
| Binary (base 2) | 110111000101 |
| Octal (base 8) | 6705 |
| Hexadecimal (base 16) | DC5 |
| Base 3 | 11211120 |
| As time | 3525 seconds = 58 min 45 s |
Is 3525 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 (3525 ÷ 3 = 1175) | 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 (3525 ÷ 5 = 705) | 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 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 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 5) | 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 3525 a prime number?
No. 3525 = 3 × × 47, so it is divisible by 3.
What are the factors of 3525?
1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525.
What is 3525 in binary?
110111000101 (hexadecimal DC5, octal 6705).
What is the square root of 3525?
About 59.3717, exactly 5√141.
What is 3525 in Roman numerals?
MMMDXXV.
Is 3525 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3525?
3525 is a Harshad number: divisible by its digit sum 15.