The number 72177
72177 is a composite number with 12 divisors. Its prime factorisation is 3 × × 491. Divisors (12): 1, 3, 7, 21, 49, 147, 491, 1473, 3437, 10311, 24059, 72177.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72177 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72177 is composite. Its prime factorisation is
- 3
The divisors add up to 112176; without 72177 itself that is 39999, so 72177 is deficient (39999 is less than 72177). Euler's totient φ(72177) = 41160 numbers up to 72177 share no factor with it.
- 4
The digits of 72177 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72177 = 3 \times 7^{2} \times 491 \]72177 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112176 |
| Euler totient φ(n) | 41160 |
| Square | 5209519329 |
| Cube | 376007476609233 |
| Square root | 268.657775 (= 7√1473) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2177 × |
72177 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and seventy-seven |
| Binary (base 2) | 10001100111110001 |
| Octal (base 8) | 214761 |
| Hexadecimal (base 16) | 119F1 |
| Base 3 | 10200000020 |
| As time | 72177 seconds = 20 h 2 min 57 s |
Is 72177 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 | Yes (72177 ÷ 3 = 24059) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72177 ÷ 7 = 10311) | 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 6) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72177 a prime number?
No. 72177 = 3 × × 491, so it is divisible by 3.
What are the factors of 72177?
1, 3, 7, 21, 49, 147, 491, 1473, 3437, 10311, 24059, 72177.
What is 72177 in binary?
10001100111110001 (hexadecimal 119F1, octal 214761).
What is the square root of 72177?
About 268.6578, exactly 7√1473.
Is 72177 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72177?
It is a composite number with 12 divisors.