The number 72011
72011 is a composite number with 4 divisors. Its prime factorisation is 107 × 673. Divisors (4): 1, 107, 673, 72011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72011: a semiprime: 107 × 673, the product of two primes.
- 2
72011 is composite. Its prime factorisation is
- 3
The divisors add up to 72792; without 72011 itself that is 781, so 72011 is deficient (781 is less than 72011). Euler's totient φ(72011) = 71232 numbers up to 72011 share no factor with it.
- 4
The digits of 72011 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72011 = 107 \times 673 \]
72011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 72792 |
| Euler totient φ(n) | 71232 |
| Square | 5185584121 |
| Cube | 373419098137331 |
| Square root | 268.348654 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2011 × |
72011 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and eleven |
| Binary (base 2) | 10001100101001011 |
| Octal (base 8) | 214513 |
| Hexadecimal (base 16) | 1194B |
| Base 3 | 10122210002 |
| As time | 72011 seconds = 20 h 0 min 11 s |
Is 72011 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 1) | 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 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72011 a prime number?
No. 72011 = 107 × 673, so it is divisible by 107.
What are the factors of 72011?
1, 107, 673, 72011.
What is 72011 in binary?
10001100101001011 (hexadecimal 1194B, octal 214513).
What is the square root of 72011?
About 268.3487.
Is 72011 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 72011?
72011 is a semiprime: 107 × 673, the product of two primes.