The number 35007
35007 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1667. Divisors (8): 1, 3, 7, 21, 1667, 5001, 11669, 35007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35007 is composite. Its prime factorisation is
- 3
The divisors add up to 53376; without 35007 itself that is 18369, so 35007 is deficient (18369 is less than 35007). Euler's totient φ(35007) = 19992 numbers up to 35007 share no factor with it.
- 4
The digits of 35007 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35007 = 3 \times 7 \times 1667 \]
35007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 53376 |
| Euler totient φ(n) | 19992 |
| Square | 1225490049 |
| Cube | 42900730145343 |
| Square root | 187.101577 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5007 × |
35007 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and seven |
| Binary (base 2) | 1000100010111111 |
| Octal (base 8) | 104277 |
| Hexadecimal (base 16) | 88BF |
| Base 3 | 1210000120 |
| As time | 35007 seconds = 9 h 43 min 27 s |
Is 35007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35007 ÷ 3 = 11669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35007 ÷ 7 = 5001) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35007 a prime number?
No. 35007 = 3 × 7 × 1667, so it is divisible by 3.
What are the factors of 35007?
1, 3, 7, 21, 1667, 5001, 11669, 35007.
What is 35007 in binary?
1000100010111111 (hexadecimal 88BF, octal 104277).
What is the square root of 35007?
About 187.1016.
Is 35007 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 35007?
It is a composite number with 8 divisors.