The number 73116
73116 is a composite number with 24 divisors. Its prime factorisation is × × 677. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 677, 1354, 2031, 2708 … 73116.
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How to work it out
- 1
What is special about 73116: a Harshad number: divisible by its digit sum 18.
- 2
73116 is composite. Its prime factorisation is
- 3
The divisors add up to 189840; without 73116 itself that is 116724, so 73116 is abundant (116724 is more than 73116). Euler's totient φ(73116) = 24336 numbers up to 73116 share no factor with it.
- 4
The digits of 73116 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73116 = 2^{2} \times 3^{3} \times 677 \]73116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 189840 |
| Euler totient φ(n) | 24336 |
| Square | 5345949456 |
| Cube | 390874440424896 |
| Square root | 270.399704 (= 6√2031) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.3116 × |
73116 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and sixteen |
| Binary (base 2) | 10001110110011100 |
| Octal (base 8) | 216634 |
| Hexadecimal (base 16) | 11D9C |
| Base 3 | 10201022000 |
| As time | 73116 seconds = 20 h 18 min 36 s |
Is 73116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73116 ÷ 2 = 36558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73116 ÷ 3 = 24372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73116 ÷ 4 = 18279) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73116 ÷ 6 = 12186) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73116 ÷ 9 = 8124) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73116 ÷ 12 = 6093) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73116 a prime number?
No. 73116 = × × 677, so it is divisible by 2.
What are the factors of 73116?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 677, 1354, 2031, 2708, 4062, 6093, 8124, 12186, 18279, 24372, 36558, 73116.
What is 73116 in binary?
10001110110011100 (hexadecimal 11D9C, octal 216634).
What is the square root of 73116?
About 270.3997, exactly 6√2031.
Is 73116 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73116?
73116 is a Harshad number: divisible by its digit sum 18.