The number 35020
35020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 103. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 103, 170, 206, 340, 412, 515 … 35020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35020: a Harshad number: divisible by its digit sum 10.
- 2
35020 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 35020 itself that is 43604, so 35020 is abundant (43604 is more than 35020). Euler's totient φ(35020) = 13056 numbers up to 35020 share no factor with it.
- 4
The digits of 35020 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35020 = 2^{2} \times 5 \times 17 \times 103 \]35020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 13056 |
| Square | 1226400400 |
| Cube | 42948542008000 |
| Square root | 187.136314 (= 2√8755) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.502 × |
35020 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and twenty |
| Binary (base 2) | 1000100011001100 |
| Octal (base 8) | 104314 |
| Hexadecimal (base 16) | 88CC |
| Base 3 | 1210001001 |
| As time | 35020 seconds = 9 h 43 min 40 s |
Is 35020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35020 ÷ 2 = 17510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35020 ÷ 4 = 8755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35020 ÷ 5 = 7004) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35020 ÷ 10 = 3502) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35020 a prime number?
No. 35020 = × 5 × 17 × 103, so it is divisible by 2.
What are the factors of 35020?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 103, 170, 206, 340, 412, 515, 1030, 1751, 2060, 3502, 7004, 8755, 17510, 35020.
What is 35020 in binary?
1000100011001100 (hexadecimal 88CC, octal 104314).
What is the square root of 35020?
About 187.1363, exactly 2√8755.
Is 35020 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 35020?
35020 is a Harshad number: divisible by its digit sum 10.