The number 73542
73542 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 103. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 103, 119, 206, 238 … 73542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73542: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
73542 is composite. Its prime factorisation is
- 3
The divisors add up to 179712; without 73542 itself that is 106170, so 73542 is abundant (106170 is more than 73542). Euler's totient φ(73542) = 19584 numbers up to 73542 share no factor with it.
- 4
The digits of 73542 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73542 = 2 \times 3 \times 7 \times 17 \times 103 \]
73542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 179712 |
| Euler totient φ(n) | 19584 |
| Square | 5408425764 |
| Cube | 397746447536088 |
| Square root | 271.186283 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3542 × |
73542 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand five hundred and forty-two |
| Binary (base 2) | 10001111101000110 |
| Octal (base 8) | 217506 |
| Hexadecimal (base 16) | 11F46 |
| Base 3 | 10201212210 |
| As time | 73542 seconds = 20 h 25 min 42 s |
Is 73542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73542 ÷ 2 = 36771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73542 ÷ 3 = 24514) | 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 (73542 ÷ 6 = 12257) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73542 ÷ 7 = 10506) | 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 3) | 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 7) | 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 73542 a prime number?
No. 73542 = 2 × 3 × 7 × 17 × 103, so it is divisible by 2.
What are the factors of 73542?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 103, 119, 206, 238, 309, 357, 618, 714, 721, 1442, 1751, 2163, 3502, 4326, 5253, 10506, 12257, 24514, 36771, 73542.
What is 73542 in binary?
10001111101000110 (hexadecimal 11F46, octal 217506).
What is the square root of 73542?
About 271.1863.
Is 73542 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73542?
73542 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.