The number 74165
74165 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 13 × 163. Divisors (16): 1, 5, 7, 13, 35, 65, 91, 163, 455, 815, 1141, 2119, 5705, 10595, 14833, 74165.
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How to work it out
- 1
74165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74165 is composite. Its prime factorisation is
- 3
The divisors add up to 110208; without 74165 itself that is 36043, so 74165 is deficient (36043 is less than 74165). Euler's totient φ(74165) = 46656 numbers up to 74165 share no factor with it.
- 4
The digits of 74165 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74165 = 5 \times 7 \times 13 \times 163 \]
74165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110208 |
| Euler totient φ(n) | 46656 |
| Square | 5500447225 |
| Cube | 407940668442125 |
| Square root | 272.332517 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4165 × |
74165 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and sixty-five |
| Binary (base 2) | 10010000110110101 |
| Octal (base 8) | 220665 |
| Hexadecimal (base 16) | 121B5 |
| Base 3 | 10202201212 |
| As time | 74165 seconds = 20 h 36 min 5 s |
Is 74165 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74165 ÷ 5 = 14833) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74165 ÷ 7 = 10595) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74165 a prime number?
No. 74165 = 5 × 7 × 13 × 163, so it is divisible by 5.
What are the factors of 74165?
1, 5, 7, 13, 35, 65, 91, 163, 455, 815, 1141, 2119, 5705, 10595, 14833, 74165.
What is 74165 in binary?
10010000110110101 (hexadecimal 121B5, octal 220665).
What is the square root of 74165?
About 272.3325.
Is 74165 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74165?
It is a composite number with 16 divisors.