The number 72071
72071 is a composite number with 4 divisors. Its prime factorisation is 97 × 743. Divisors (4): 1, 97, 743, 72071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72071: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 97 × 743, the product of two primes.
- 2
72071 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 72071 itself that is 841, so 72071 is deficient (841 is less than 72071). Euler's totient φ(72071) = 71232 numbers up to 72071 share no factor with it.
- 4
The digits of 72071 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72071 = 97 \times 743 \]
72071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 71232 |
| Square | 5194229041 |
| Cube | 374353281213911 |
| Square root | 268.460425 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2071 × |
72071 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and seventy-one |
| Binary (base 2) | 10001100110000111 |
| Octal (base 8) | 214607 |
| Hexadecimal (base 16) | 11987 |
| Base 3 | 10122212022 |
| As time | 72071 seconds = 20 h 1 min 11 s |
Is 72071 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 6) | 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 8) | 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 10) | 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 72071 a prime number?
No. 72071 = 97 × 743, so it is divisible by 97.
What are the factors of 72071?
1, 97, 743, 72071.
What is 72071 in binary?
10001100110000111 (hexadecimal 11987, octal 214607).
What is the square root of 72071?
About 268.4604.
Is 72071 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72071?
72071 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 97 × 743, the product of two primes.