The number 35004
35004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2917. Divisors (12): 1, 2, 3, 4, 6, 12, 2917, 5834, 8751, 11668, 17502, 35004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35004: a Harshad number: divisible by its digit sum 12.
- 2
35004 is composite. Its prime factorisation is
- 3
The divisors add up to 81704; without 35004 itself that is 46700, so 35004 is abundant (46700 is more than 35004). Euler's totient φ(35004) = 11664 numbers up to 35004 share no factor with it.
- 4
The digits of 35004 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35004 = 2^{2} \times 3 \times 2917 \]35004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81704 |
| Euler totient φ(n) | 11664 |
| Square | 1225280016 |
| Cube | 42889701680064 |
| Square root | 187.093559 (= 2√8751) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.5004 × |
35004 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and four |
| Binary (base 2) | 1000100010111100 |
| Octal (base 8) | 104274 |
| Hexadecimal (base 16) | 88BC |
| Base 3 | 1210000110 |
| As time | 35004 seconds = 9 h 43 min 24 s |
Is 35004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35004 ÷ 2 = 17502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35004 ÷ 3 = 11668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35004 ÷ 4 = 8751) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35004 ÷ 6 = 5834) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35004 ÷ 12 = 2917) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35004 a prime number?
No. 35004 = × 3 × 2917, so it is divisible by 2.
What are the factors of 35004?
1, 2, 3, 4, 6, 12, 2917, 5834, 8751, 11668, 17502, 35004.
What is 35004 in binary?
1000100010111100 (hexadecimal 88BC, octal 104274).
What is the square root of 35004?
About 187.0936, exactly 2√8751.
Is 35004 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 35004?
35004 is a Harshad number: divisible by its digit sum 12.