The number 73242
73242 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 313. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 313, 626, 939, 1878 … 73242.
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How to work it out
- 1
What is special about 73242: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
73242 is composite. Its prime factorisation is
- 3
The divisors add up to 171444; without 73242 itself that is 98202, so 73242 is abundant (98202 is more than 73242). Euler's totient φ(73242) = 22464 numbers up to 73242 share no factor with it.
- 4
The digits of 73242 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73242 = 2 \times 3^{2} \times 13 \times 313 \]73242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 171444 |
| Euler totient φ(n) | 22464 |
| Square | 5364390564 |
| Cube | 392898693688488 |
| Square root | 270.632592 (= 3√8138) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3242 × |
73242 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and forty-two |
| Binary (base 2) | 10001111000011010 |
| Octal (base 8) | 217032 |
| Hexadecimal (base 16) | 11E1A |
| Base 3 | 10201110200 |
| As time | 73242 seconds = 20 h 20 min 42 s |
Is 73242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73242 ÷ 2 = 36621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73242 ÷ 3 = 24414) | 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 (73242 ÷ 6 = 12207) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (73242 ÷ 9 = 8138) | 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 4) | 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 73242 a prime number?
No. 73242 = 2 × × 13 × 313, so it is divisible by 2.
What are the factors of 73242?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 313, 626, 939, 1878, 2817, 4069, 5634, 8138, 12207, 24414, 36621, 73242.
What is 73242 in binary?
10001111000011010 (hexadecimal 11E1A, octal 217032).
What is the square root of 73242?
About 270.6326, exactly 3√8138.
Is 73242 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73242?
73242 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.