The number 72118
72118 is a composite number with 8 divisors. Its prime factorisation is 2 × 107 × 337. Divisors (8): 1, 2, 107, 214, 337, 674, 36059, 72118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72118 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72118 is composite. Its prime factorisation is
- 3
The divisors add up to 109512; without 72118 itself that is 37394, so 72118 is deficient (37394 is less than 72118). Euler's totient φ(72118) = 35616 numbers up to 72118 share no factor with it.
- 4
The digits of 72118 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72118 = 2 \times 107 \times 337 \]
72118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109512 |
| Euler totient φ(n) | 35616 |
| Square | 5201005924 |
| Cube | 375086145227032 |
| Square root | 268.547947 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2118 × |
72118 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and eighteen |
| Binary (base 2) | 10001100110110110 |
| Octal (base 8) | 214666 |
| Hexadecimal (base 16) | 119B6 |
| Base 3 | 10122221001 |
| As time | 72118 seconds = 20 h 1 min 58 s |
Is 72118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72118 ÷ 2 = 36059) | 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 2) | 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 4) | 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 6) | 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 8) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72118 a prime number?
No. 72118 = 2 × 107 × 337, so it is divisible by 2.
What are the factors of 72118?
1, 2, 107, 214, 337, 674, 36059, 72118.
What is 72118 in binary?
10001100110110110 (hexadecimal 119B6, octal 214666).
What is the square root of 72118?
About 268.5479.
Is 72118 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72118?
It is a composite number with 8 divisors.