The number 35000
35000 is a composite number with 40 divisors. Its prime factorisation is × × 7. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70 … 35000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35000: a Harshad number: divisible by its digit sum 8.
- 2
35000 is composite. Its prime factorisation is
- 3
The divisors add up to 93720; without 35000 itself that is 58720, so 35000 is abundant (58720 is more than 35000). Euler's totient φ(35000) = 12000 numbers up to 35000 share no factor with it.
- 4
The digits of 35000 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35000 = 2^{3} \times 5^{4} \times 7 \]35000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 93720 |
| Euler totient φ(n) | 12000 |
| Square | 1225000000 |
| Cube | 42875000000000 |
| Square root | 187.082869 (= 50√14) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5 × |
35000 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand |
| Binary (base 2) | 1000100010111000 |
| Octal (base 8) | 104270 |
| Hexadecimal (base 16) | 88B8 |
| Base 3 | 1210000022 |
| As time | 35000 seconds = 9 h 43 min 20 s |
Is 35000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35000 ÷ 2 = 17500) | 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 | Yes (35000 ÷ 4 = 8750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35000 ÷ 5 = 7000) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35000 ÷ 7 = 5000) | 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 | Yes (35000 ÷ 8 = 4375) | 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 | Yes (35000 ÷ 10 = 3500) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35000 a prime number?
No. 35000 = × × 7, so it is divisible by 2.
What are the factors of 35000?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 625, 700, 875, 1000, 1250, 1400, 1750, 2500, 3500, 4375, 5000, 7000, 8750, 17500, 35000.
What is 35000 in binary?
1000100010111000 (hexadecimal 88B8, octal 104270).
What is the square root of 35000?
About 187.0829, exactly 50√14.
Is 35000 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 35000?
35000 is a Harshad number: divisible by its digit sum 8.