The number 72017
72017 is a composite number with 4 divisors. Its prime factorisation is 11 × 6547. Divisors (4): 1, 11, 6547, 72017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72017: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6547, the product of two primes.
- 2
72017 is composite. Its prime factorisation is
- 3
The divisors add up to 78576; without 72017 itself that is 6559, so 72017 is deficient (6559 is less than 72017). Euler's totient φ(72017) = 65460 numbers up to 72017 share no factor with it.
- 4
The digits of 72017 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72017 = 11 \times 6547 \]
72017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 78576 |
| Euler totient φ(n) | 65460 |
| Square | 5186448289 |
| Cube | 373512446428913 |
| Square root | 268.359833 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 179 |
| Scientific notation | 7.2017 × |
72017 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and seventeen |
| Binary (base 2) | 10001100101010001 |
| Octal (base 8) | 214521 |
| Hexadecimal (base 16) | 11951 |
| Base 3 | 10122210022 |
| As time | 72017 seconds = 20 h 0 min 17 s |
Is 72017 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 1) | 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 | No (remainder 1) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72017 ÷ 11 = 6547) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72017 a prime number?
No. 72017 = 11 × 6547, so it is divisible by 11.
What are the factors of 72017?
1, 11, 6547, 72017.
What is 72017 in binary?
10001100101010001 (hexadecimal 11951, octal 214521).
What is the square root of 72017?
About 268.3598.
Is 72017 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72017?
72017 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6547, the product of two primes.