The number 73444
73444 is a composite number with 24 divisors. Its prime factorisation is × 7 × 43 × 61. Divisors (24): 1, 2, 4, 7, 14, 28, 43, 61, 86, 122, 172, 244, 301, 427, 602, 854 … 73444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73444 is composite. Its prime factorisation is
- 3
The divisors add up to 152768; without 73444 itself that is 79324, so 73444 is abundant (79324 is more than 73444). Euler's totient φ(73444) = 30240 numbers up to 73444 share no factor with it.
- 4
The digits of 73444 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73444 = 2^{2} \times 7 \times 43 \times 61 \]73444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 152768 |
| Euler totient φ(n) | 30240 |
| Square | 5394021136 |
| Cube | 396158488312384 |
| Square root | 271.005535 (= 2√18361) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3444 × |
73444 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and forty-four |
| Binary (base 2) | 10001111011100100 |
| Octal (base 8) | 217344 |
| Hexadecimal (base 16) | 11EE4 |
| Base 3 | 10201202011 |
| As time | 73444 seconds = 20 h 24 min 4 s |
Is 73444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73444 ÷ 2 = 36722) | 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 | Yes (73444 ÷ 4 = 18361) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (73444 ÷ 7 = 10492) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73444 a prime number?
No. 73444 = × 7 × 43 × 61, so it is divisible by 2.
What are the factors of 73444?
1, 2, 4, 7, 14, 28, 43, 61, 86, 122, 172, 244, 301, 427, 602, 854, 1204, 1708, 2623, 5246, 10492, 18361, 36722, 73444.
What is 73444 in binary?
10001111011100100 (hexadecimal 11EE4, octal 217344).
What is the square root of 73444?
About 271.0055, exactly 2√18361.
Is 73444 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73444?
It is a composite number with 24 divisors.