The number 73422
73422 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4079. Divisors (12): 1, 2, 3, 6, 9, 18, 4079, 8158, 12237, 24474, 36711, 73422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73422: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
73422 is composite. Its prime factorisation is
- 3
The divisors add up to 159120; without 73422 itself that is 85698, so 73422 is abundant (85698 is more than 73422). Euler's totient φ(73422) = 24468 numbers up to 73422 share no factor with it.
- 4
The digits of 73422 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73422 = 2 \times 3^{2} \times 4079 \]73422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 159120 |
| Euler totient φ(n) | 24468 |
| Square | 5390790084 |
| Cube | 395802589547448 |
| Square root | 270.964942 (= 3√8158) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.3422 × |
73422 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and twenty-two |
| Binary (base 2) | 10001111011001110 |
| Octal (base 8) | 217316 |
| Hexadecimal (base 16) | 11ECE |
| Base 3 | 10201201100 |
| As time | 73422 seconds = 20 h 23 min 42 s |
Is 73422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73422 ÷ 2 = 36711) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73422 ÷ 3 = 24474) | 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 | Yes (73422 ÷ 6 = 12237) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (73422 ÷ 9 = 8158) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73422 a prime number?
No. 73422 = 2 × × 4079, so it is divisible by 2.
What are the factors of 73422?
1, 2, 3, 6, 9, 18, 4079, 8158, 12237, 24474, 36711, 73422.
What is 73422 in binary?
10001111011001110 (hexadecimal 11ECE, octal 217316).
What is the square root of 73422?
About 270.9649, exactly 3√8158.
Is 73422 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73422?
73422 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.