The number 73442
73442 is a composite number with 4 divisors. Its prime factorisation is 2 × 36721. Divisors (4): 1, 2, 36721, 73442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73442: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36721, the product of two primes.
- 2
73442 is composite. Its prime factorisation is
- 3
The divisors add up to 110166; without 73442 itself that is 36724, so 73442 is deficient (36724 is less than 73442). Euler's totient φ(73442) = 36720 numbers up to 73442 share no factor with it.
- 4
The digits of 73442 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73442 = 2 \times 36721 \]
73442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 110166 |
| Euler totient φ(n) | 36720 |
| Square | 5393727364 |
| Cube | 396126125066888 |
| Square root | 271.001845 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3442 × |
73442 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and forty-two |
| Binary (base 2) | 10001111011100010 |
| Octal (base 8) | 217342 |
| Hexadecimal (base 16) | 11EE2 |
| Base 3 | 10201202002 |
| As time | 73442 seconds = 20 h 24 min 2 s |
Is 73442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73442 ÷ 2 = 36721) | 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 5) | 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 2) | 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 6) | 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 73442 a prime number?
No. 73442 = 2 × 36721, so it is divisible by 2.
What are the factors of 73442?
1, 2, 36721, 73442.
What is 73442 in binary?
10001111011100010 (hexadecimal 11EE2, octal 217342).
What is the square root of 73442?
About 271.0018.
Is 73442 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73442?
73442 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36721, the product of two primes.