The number 1165
1165 is a composite number with 4 divisors. Its prime factorisation is 5 × 233. Divisors (4): 1, 5, 233, 1165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1165: a semiprime: 5 × 233, the product of two primes.
- 2
1165 is composite. Its prime factorisation is
- 3
The divisors add up to 1404; without 1165 itself that is 239, so 1165 is deficient (239 is less than 1165). Euler's totient φ(1165) = 928 numbers up to 1165 share no factor with it.
- 4
The digits of 1165 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1165 = 5 \times 233 \]
1165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1404 |
| Euler totient φ(n) | 928 |
| Square | 1357225 |
| Cube | 1581167125 |
| Square root | 34.132096 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 1.165 × |
1165 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and sixty-five |
| Roman numerals | MCLXV |
| Binary (base 2) | 10010001101 |
| Octal (base 8) | 2215 |
| Hexadecimal (base 16) | 48D |
| Base 3 | 1121011 |
| As time | 1165 seconds = 19 min 25 s |
Is 1165 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 1) | 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 (1165 ÷ 5 = 233) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1165 a prime number?
No. 1165 = 5 × 233, so it is divisible by 5.
What are the factors of 1165?
1, 5, 233, 1165.
What is 1165 in binary?
10010001101 (hexadecimal 48D, octal 2215).
What is the square root of 1165?
About 34.1321.
What is 1165 in Roman numerals?
MCLXV.
Is 1165 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1165?
1165 is a semiprime: 5 × 233, the product of two primes.