The number 72163
72163 is a composite number with 12 divisors. Its prime factorisation is 7 × × 61. Divisors (12): 1, 7, 13, 61, 91, 169, 427, 793, 1183, 5551, 10309, 72163.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72163 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72163 is composite. Its prime factorisation is
- 3
The divisors add up to 90768; without 72163 itself that is 18605, so 72163 is deficient (18605 is less than 72163). Euler's totient φ(72163) = 56160 numbers up to 72163 share no factor with it.
- 4
The digits of 72163 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72163 = 7 \times 13^{2} \times 61 \]72163 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90768 |
| Euler totient φ(n) | 56160 |
| Square | 5207498569 |
| Cube | 375788719234747 |
| Square root | 268.631718 (= 13√427) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2163 × |
72163 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and sixty-three |
| Binary (base 2) | 10001100111100011 |
| Octal (base 8) | 214743 |
| Hexadecimal (base 16) | 119E3 |
| Base 3 | 10122222201 |
| As time | 72163 seconds = 20 h 2 min 43 s |
Is 72163 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72163 ÷ 7 = 10309) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72163 a prime number?
No. 72163 = 7 × × 61, so it is divisible by 7.
What are the factors of 72163?
1, 7, 13, 61, 91, 169, 427, 793, 1183, 5551, 10309, 72163.
What is 72163 in binary?
10001100111100011 (hexadecimal 119E3, octal 214743).
What is the square root of 72163?
About 268.6317, exactly 13√427.
Is 72163 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72163?
It is a composite number with 12 divisors.