The number 1158
1158 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 193. Divisors (8): 1, 2, 3, 6, 193, 386, 579, 1158.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1158: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1158 is composite. Its prime factorisation is
- 3
The divisors add up to 2328; without 1158 itself that is 1170, so 1158 is abundant (1170 is more than 1158). Euler's totient φ(1158) = 384 numbers up to 1158 share no factor with it.
- 4
The digits of 1158 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1158 = 2 \times 3 \times 193 \]
1158 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2328 |
| Euler totient φ(n) | 384 |
| Square | 1340964 |
| Cube | 1552836312 |
| Square root | 34.029399 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.158 × |
1158 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and fifty-eight |
| Roman numerals | MCLVIII |
| Binary (base 2) | 10010000110 |
| Octal (base 8) | 2206 |
| Hexadecimal (base 16) | 486 |
| Base 3 | 1120220 |
| As time | 1158 seconds = 19 min 18 s |
Is 1158 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1158 ÷ 2 = 579) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1158 ÷ 3 = 386) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (1158 ÷ 6 = 193) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1158 a prime number?
No. 1158 = 2 × 3 × 193, so it is divisible by 2.
What are the factors of 1158?
1, 2, 3, 6, 193, 386, 579, 1158.
What is 1158 in binary?
10010000110 (hexadecimal 486, octal 2206).
What is the square root of 1158?
About 34.0294.
What is 1158 in Roman numerals?
MCLVIII.
Is 1158 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1158?
1158 is a happy number: repeatedly adding the squares of its digits reaches 1.