The number 35008
35008 is a composite number with 14 divisors. Its prime factorisation is × 547. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 547, 1094, 2188, 4376, 8752, 17504, 35008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35008: a Harshad number: divisible by its digit sum 16.
- 2
35008 is composite. Its prime factorisation is
- 3
The divisors add up to 69596; without 35008 itself that is 34588, so 35008 is deficient (34588 is less than 35008). Euler's totient φ(35008) = 17472 numbers up to 35008 share no factor with it.
- 4
The digits of 35008 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35008 = 2^{6} \times 547 \]35008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 69596 |
| Euler totient φ(n) | 17472 |
| Square | 1225560064 |
| Cube | 42904406720512 |
| Square root | 187.104249 (= 8√547) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.5008 × |
35008 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and eight |
| Binary (base 2) | 1000100011000000 |
| Octal (base 8) | 104300 |
| Hexadecimal (base 16) | 88C0 |
| Base 3 | 1210000121 |
| As time | 35008 seconds = 9 h 43 min 28 s |
Is 35008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35008 ÷ 2 = 17504) | 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 (35008 ÷ 4 = 8752) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (35008 ÷ 8 = 4376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 35008 a prime number?
No. 35008 = × 547, so it is divisible by 2.
What are the factors of 35008?
1, 2, 4, 8, 16, 32, 64, 547, 1094, 2188, 4376, 8752, 17504, 35008.
What is 35008 in binary?
1000100011000000 (hexadecimal 88C0, octal 104300).
What is the square root of 35008?
About 187.1042, exactly 8√547.
Is 35008 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35008?
35008 is a Harshad number: divisible by its digit sum 16.