The number 70007
70007 is a palindrome: it reads 70007 backwards too. Its prime factorisation is 7 × 73 × 137. Divisors (8): 1, 7, 73, 137, 511, 959, 10001, 70007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70007: a palindrome: it reads 70007 backwards too.
- 2
70007 is composite. Its prime factorisation is
- 3
The divisors add up to 81696; without 70007 itself that is 11689, so 70007 is deficient (11689 is less than 70007). Euler's totient φ(70007) = 58752 numbers up to 70007 share no factor with it.
- 4
The digits of 70007 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70007 = 7 \times 73 \times 137 \]
70007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81696 |
| Euler totient φ(n) | 58752 |
| Square | 4900980049 |
| Cube | 343102910290343 |
| Square root | 264.588360 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 205 |
| Scientific notation | 7.0007 × |
70007 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and seven |
| Binary (base 2) | 10001000101110111 |
| Octal (base 8) | 210567 |
| Hexadecimal (base 16) | 11177 |
| Base 3 | 10120000212 |
| As time | 70007 seconds = 19 h 26 min 47 s |
Is 70007 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (70007 ÷ 7 = 10001) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70007 a prime number?
No. 70007 = 7 × 73 × 137, so it is divisible by 7.
What are the factors of 70007?
1, 7, 73, 137, 511, 959, 10001, 70007.
What is 70007 in binary?
10001000101110111 (hexadecimal 11177, octal 210567).
What is the square root of 70007?
About 264.5884.
Is 70007 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 70007?
70007 is a palindrome: it reads 70007 backwards too.