The number 72371
72371 is a composite number with 8 divisors. Its prime factorisation is 13 × 19 × 293. Divisors (8): 1, 13, 19, 247, 293, 3809, 5567, 72371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72371 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72371 is composite. Its prime factorisation is
- 3
The divisors add up to 82320; without 72371 itself that is 9949, so 72371 is deficient (9949 is less than 72371). Euler's totient φ(72371) = 63072 numbers up to 72371 share no factor with it.
- 4
The digits of 72371 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72371 = 13 \times 19 \times 293 \]
72371 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82320 |
| Euler totient φ(n) | 63072 |
| Square | 5237561641 |
| Cube | 379047573520811 |
| Square root | 269.018587 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2371 × |
72371 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and seventy-one |
| Binary (base 2) | 10001101010110011 |
| Octal (base 8) | 215263 |
| Hexadecimal (base 16) | 11AB3 |
| Base 3 | 10200021102 |
| As time | 72371 seconds = 20 h 6 min 11 s |
Is 72371 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 5) | 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 2) | 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 72371 a prime number?
No. 72371 = 13 × 19 × 293, so it is divisible by 13.
What are the factors of 72371?
1, 13, 19, 247, 293, 3809, 5567, 72371.
What is 72371 in binary?
10001101010110011 (hexadecimal 11AB3, octal 215263).
What is the square root of 72371?
About 269.0186.
Is 72371 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72371?
It is a composite number with 8 divisors.