The number 72164
72164 is a composite number with 6 divisors. Its prime factorisation is × 18041. Divisors (6): 1, 2, 4, 18041, 36082, 72164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72164 is composite. Its prime factorisation is
- 3
The divisors add up to 126294; without 72164 itself that is 54130, so 72164 is deficient (54130 is less than 72164). Euler's totient φ(72164) = 36080 numbers up to 72164 share no factor with it.
- 4
The digits of 72164 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72164 = 2^{2} \times 18041 \]72164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 126294 |
| Euler totient φ(n) | 36080 |
| Square | 5207642896 |
| Cube | 375804341946944 |
| Square root | 268.633579 (= 2√18041) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2164 × |
72164 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and sixty-four |
| Binary (base 2) | 10001100111100100 |
| Octal (base 8) | 214744 |
| Hexadecimal (base 16) | 119E4 |
| Base 3 | 10122222202 |
| As time | 72164 seconds = 20 h 2 min 44 s |
Is 72164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72164 ÷ 2 = 36082) | 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 | Yes (72164 ÷ 4 = 18041) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72164 a prime number?
No. 72164 = × 18041, so it is divisible by 2.
What are the factors of 72164?
1, 2, 4, 18041, 36082, 72164.
What is 72164 in binary?
10001100111100100 (hexadecimal 119E4, octal 214744).
What is the square root of 72164?
About 268.6336, exactly 2√18041.
Is 72164 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72164?
It is a composite number with 6 divisors.