The number 72007
72007 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 191. Divisors (8): 1, 13, 29, 191, 377, 2483, 5539, 72007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72007 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 72007 itself that is 8633, so 72007 is deficient (8633 is less than 72007). Euler's totient φ(72007) = 63840 numbers up to 72007 share no factor with it.
- 4
The digits of 72007 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 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72007 = 13 \times 29 \times 191 \]
72007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 63840 |
| Square | 5185008049 |
| Cube | 373356874584343 |
| Square root | 268.341201 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.2007 × |
72007 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and seven |
| Binary (base 2) | 10001100101000111 |
| Octal (base 8) | 214507 |
| Hexadecimal (base 16) | 11947 |
| Base 3 | 10122202221 |
| As time | 72007 seconds = 20 h 0 min 7 s |
Is 72007 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72007 a prime number?
No. 72007 = 13 × 29 × 191, so it is divisible by 13.
What are the factors of 72007?
1, 13, 29, 191, 377, 2483, 5539, 72007.
What is 72007 in binary?
10001100101000111 (hexadecimal 11947, octal 214507).
What is the square root of 72007?
About 268.3412.
Is 72007 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72007?
It is a composite number with 8 divisors.