The number 72422
72422 is a composite number with 12 divisors. Its prime factorisation is 2 × × 739. Divisors (12): 1, 2, 7, 14, 49, 98, 739, 1478, 5173, 10346, 36211, 72422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72422 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72422 is composite. Its prime factorisation is
- 3
The divisors add up to 126540; without 72422 itself that is 54118, so 72422 is deficient (54118 is less than 72422). Euler's totient φ(72422) = 30996 numbers up to 72422 share no factor with it.
- 4
The digits of 72422 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72422 = 2 \times 7^{2} \times 739 \]72422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126540 |
| Euler totient φ(n) | 30996 |
| Square | 5244946084 |
| Cube | 379849485295448 |
| Square root | 269.113359 (= 7√1478) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2422 × |
72422 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and twenty-two |
| Binary (base 2) | 10001101011100110 |
| Octal (base 8) | 215346 |
| Hexadecimal (base 16) | 11AE6 |
| Base 3 | 10200100022 |
| As time | 72422 seconds = 20 h 7 min 2 s |
Is 72422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72422 ÷ 2 = 36211) | 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 | Yes (72422 ÷ 7 = 10346) | 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 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 9) | 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 72422 a prime number?
No. 72422 = 2 × × 739, so it is divisible by 2.
What are the factors of 72422?
1, 2, 7, 14, 49, 98, 739, 1478, 5173, 10346, 36211, 72422.
What is 72422 in binary?
10001101011100110 (hexadecimal 11AE6, octal 215346).
What is the square root of 72422?
About 269.1134, exactly 7√1478.
Is 72422 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72422?
It is a composite number with 12 divisors.