The number 1177
1177 is a composite number with 4 divisors. Its prime factorisation is 11 × 107. Divisors (4): 1, 11, 107, 1177.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1177: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 107, the product of two primes.
- 2
1177 is composite. Its prime factorisation is
- 3
The divisors add up to 1296; without 1177 itself that is 119, so 1177 is deficient (119 is less than 1177). Euler's totient φ(1177) = 1060 numbers up to 1177 share no factor with it.
- 4
The digits of 1177 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1177 = 11 \times 107 \]
1177 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1296 |
| Euler totient φ(n) | 1060 |
| Square | 1385329 |
| Cube | 1630532233 |
| Square root | 34.307434 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.177 × |
1177 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and seventy-seven |
| Roman numerals | MCLXXVII |
| Binary (base 2) | 10010011001 |
| Octal (base 8) | 2231 |
| Hexadecimal (base 16) | 499 |
| Base 3 | 1121121 |
| As time | 1177 seconds = 19 min 37 s |
Is 1177 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 | No (remainder 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1177 ÷ 11 = 107) | 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 1177 a prime number?
No. 1177 = 11 × 107, so it is divisible by 11.
What are the factors of 1177?
1, 11, 107, 1177.
What is 1177 in binary?
10010011001 (hexadecimal 499, octal 2231).
What is the square root of 1177?
About 34.3074.
What is 1177 in Roman numerals?
MCLXXVII.
Is 1177 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1177?
1177 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 107, the product of two primes.