The number 72006
72006 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1091. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1091, 2182, 3273, 6546, 12001, 24002, 36003, 72006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72006 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 72006 itself that is 85242, so 72006 is abundant (85242 is more than 72006). Euler's totient φ(72006) = 21800 numbers up to 72006 share no factor with it.
- 4
The digits of 72006 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72006 = 2 \times 3 \times 11 \times 1091 \]
72006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 21800 |
| Square | 5184864036 |
| Cube | 373341319776216 |
| Square root | 268.339337 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2006 × |
72006 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and six |
| Binary (base 2) | 10001100101000110 |
| Octal (base 8) | 214506 |
| Hexadecimal (base 16) | 11946 |
| Base 3 | 10122202220 |
| As time | 72006 seconds = 20 h 0 min 6 s |
Is 72006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72006 ÷ 2 = 36003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72006 ÷ 3 = 24002) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72006 ÷ 6 = 12001) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72006 ÷ 11 = 6546) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72006 a prime number?
No. 72006 = 2 × 3 × 11 × 1091, so it is divisible by 2.
What are the factors of 72006?
1, 2, 3, 6, 11, 22, 33, 66, 1091, 2182, 3273, 6546, 12001, 24002, 36003, 72006.
What is 72006 in binary?
10001100101000110 (hexadecimal 11946, octal 214506).
What is the square root of 72006?
About 268.3393.
Is 72006 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72006?
It is a composite number with 16 divisors.