The number 35025
35025 is a composite number with 12 divisors. Its prime factorisation is 3 × × 467. Divisors (12): 1, 3, 5, 15, 25, 75, 467, 1401, 2335, 7005, 11675, 35025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35025: a Harshad number: divisible by its digit sum 15.
- 2
35025 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 35025 itself that is 23007, so 35025 is deficient (23007 is less than 35025). Euler's totient φ(35025) = 18640 numbers up to 35025 share no factor with it.
- 4
The digits of 35025 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35025 = 3 \times 5^{2} \times 467 \]35025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 18640 |
| Square | 1226750625 |
| Cube | 42966940640625 |
| Square root | 187.149673 (= 5√1401) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5025 × |
35025 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and twenty-five |
| Binary (base 2) | 1000100011010001 |
| Octal (base 8) | 104321 |
| Hexadecimal (base 16) | 88D1 |
| Base 3 | 1210001020 |
| As time | 35025 seconds = 9 h 43 min 45 s |
Is 35025 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 (35025 ÷ 3 = 11675) | 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 (35025 ÷ 5 = 7005) | 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 1) | 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 35025 a prime number?
No. 35025 = 3 × × 467, so it is divisible by 3.
What are the factors of 35025?
1, 3, 5, 15, 25, 75, 467, 1401, 2335, 7005, 11675, 35025.
What is 35025 in binary?
1000100011010001 (hexadecimal 88D1, octal 104321).
What is the square root of 35025?
About 187.1497, exactly 5√1401.
Is 35025 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 35025?
35025 is a Harshad number: divisible by its digit sum 15.