The number 73608
73608 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3067. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3067, 6134, 9201, 12268, 18402, 24536, 36804, 73608.
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How to work it out
- 1
What is special about 73608: a Harshad number: divisible by its digit sum 24.
- 2
73608 is composite. Its prime factorisation is
- 3
The divisors add up to 184080; without 73608 itself that is 110472, so 73608 is abundant (110472 is more than 73608). Euler's totient φ(73608) = 24528 numbers up to 73608 share no factor with it.
- 4
The digits of 73608 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73608 = 2^{3} \times 3 \times 3067 \]73608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 184080 |
| Euler totient φ(n) | 24528 |
| Square | 5418137664 |
| Cube | 398818277171712 |
| Square root | 271.307943 (= 2√18402) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3608 × |
73608 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and eight |
| Binary (base 2) | 10001111110001000 |
| Octal (base 8) | 217610 |
| Hexadecimal (base 16) | 11F88 |
| Base 3 | 10201222020 |
| As time | 73608 seconds = 20 h 26 min 48 s |
Is 73608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73608 ÷ 2 = 36804) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73608 ÷ 3 = 24536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73608 ÷ 4 = 18402) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73608 ÷ 6 = 12268) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (73608 ÷ 8 = 9201) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (73608 ÷ 12 = 6134) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73608 a prime number?
No. 73608 = × 3 × 3067, so it is divisible by 2.
What are the factors of 73608?
1, 2, 3, 4, 6, 8, 12, 24, 3067, 6134, 9201, 12268, 18402, 24536, 36804, 73608.
What is 73608 in binary?
10001111110001000 (hexadecimal 11F88, octal 217610).
What is the square root of 73608?
About 271.3079, exactly 2√18402.
Is 73608 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73608?
73608 is a Harshad number: divisible by its digit sum 24.