The number 72713
72713 is a composite number with 8 divisors. Its prime factorisation is 19 × 43 × 89. Divisors (8): 1, 19, 43, 89, 817, 1691, 3827, 72713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72713 is composite. Its prime factorisation is
- 3
The divisors add up to 79200; without 72713 itself that is 6487, so 72713 is deficient (6487 is less than 72713). Euler's totient φ(72713) = 66528 numbers up to 72713 share no factor with it.
- 4
The digits of 72713 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 249 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72713 = 19 \times 43 \times 89 \]
72713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79200 |
| Euler totient φ(n) | 66528 |
| Square | 5287180369 |
| Cube | 384446746171097 |
| Square root | 269.653481 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 249 |
| Scientific notation | 7.2713 × |
72713 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirteen |
| Binary (base 2) | 10001110000001001 |
| Octal (base 8) | 216011 |
| Hexadecimal (base 16) | 11C09 |
| Base 3 | 10200202002 |
| As time | 72713 seconds = 20 h 11 min 53 s |
Is 72713 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 3) | 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 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 72713 a prime number?
No. 72713 = 19 × 43 × 89, so it is divisible by 19.
What are the factors of 72713?
1, 19, 43, 89, 817, 1691, 3827, 72713.
What is 72713 in binary?
10001110000001001 (hexadecimal 11C09, octal 216011).
What is the square root of 72713?
About 269.6535.
Is 72713 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72713?
It is a composite number with 8 divisors.