The number 72242
72242 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 881. Divisors (8): 1, 2, 41, 82, 881, 1762, 36121, 72242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72242 is composite. Its prime factorisation is
- 3
The divisors add up to 111132; without 72242 itself that is 38890, so 72242 is deficient (38890 is less than 72242). Euler's totient φ(72242) = 35200 numbers up to 72242 share no factor with it.
- 4
The digits of 72242 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72242 = 2 \times 41 \times 881 \]
72242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 111132 |
| Euler totient φ(n) | 35200 |
| Square | 5218906564 |
| Cube | 377024247996488 |
| Square root | 268.778719 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2242 × |
72242 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and forty-two |
| Binary (base 2) | 10001101000110010 |
| Octal (base 8) | 215062 |
| Hexadecimal (base 16) | 11A32 |
| Base 3 | 10200002122 |
| As time | 72242 seconds = 20 h 4 min 2 s |
Is 72242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72242 ÷ 2 = 36121) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72242 a prime number?
No. 72242 = 2 × 41 × 881, so it is divisible by 2.
What are the factors of 72242?
1, 2, 41, 82, 881, 1762, 36121, 72242.
What is 72242 in binary?
10001101000110010 (hexadecimal 11A32, octal 215062).
What is the square root of 72242?
About 268.7787.
Is 72242 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72242?
It is a composite number with 8 divisors.