The number 35028
35028 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 139. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 35028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35028: a Harshad number: divisible by its digit sum 18.
- 2
35028 is composite. Its prime factorisation is
- 3
The divisors add up to 101920; without 35028 itself that is 66892, so 35028 is abundant (66892 is more than 35028). Euler's totient φ(35028) = 9936 numbers up to 35028 share no factor with it.
- 4
The digits of 35028 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35028 = 2^{2} \times 3^{2} \times 7 \times 139 \]35028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 101920 |
| Euler totient φ(n) | 9936 |
| Square | 1226960784 |
| Cube | 42977982341952 |
| Square root | 187.157688 (= 6√973) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.5028 × |
35028 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and twenty-eight |
| Binary (base 2) | 1000100011010100 |
| Octal (base 8) | 104324 |
| Hexadecimal (base 16) | 88D4 |
| Base 3 | 1210001100 |
| As time | 35028 seconds = 9 h 43 min 48 s |
Is 35028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35028 ÷ 2 = 17514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35028 ÷ 3 = 11676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35028 ÷ 4 = 8757) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35028 ÷ 6 = 5838) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35028 ÷ 7 = 5004) | 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 | Yes (35028 ÷ 9 = 3892) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35028 ÷ 12 = 2919) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35028 a prime number?
No. 35028 = × × 7 × 139, so it is divisible by 2.
What are the factors of 35028?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 139, 252, 278, 417, 556, 834, 973, 1251, 1668, 1946, 2502, 2919, 3892, 5004, 5838, 8757, 11676, 17514, 35028.
What is 35028 in binary?
1000100011010100 (hexadecimal 88D4, octal 104324).
What is the square root of 35028?
About 187.1577, exactly 6√973.
Is 35028 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35028?
35028 is a Harshad number: divisible by its digit sum 18.