The number 1047
1047 is a composite number with 4 divisors. Its prime factorisation is 3 × 349. Divisors (4): 1, 3, 349, 1047.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1047: a semiprime: 3 × 349, the product of two primes.
- 2
1047 is composite. Its prime factorisation is
- 3
The divisors add up to 1400; without 1047 itself that is 353, so 1047 is deficient (353 is less than 1047). Euler's totient φ(1047) = 696 numbers up to 1047 share no factor with it.
- 4
The digits of 1047 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1047 = 3 \times 349 \]
1047 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1400 |
| Euler totient φ(n) | 696 |
| Square | 1096209 |
| Cube | 1147730823 |
| Square root | 32.357379 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.047 × |
1047 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty-seven |
| Roman numerals | MXLVII |
| Binary (base 2) | 10000010111 |
| Octal (base 8) | 2027 |
| Hexadecimal (base 16) | 417 |
| Base 3 | 1102210 |
| As time | 1047 seconds = 17 min 27 s |
Is 1047 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 | Yes (1047 ÷ 3 = 349) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1047 a prime number?
No. 1047 = 3 × 349, so it is divisible by 3.
What are the factors of 1047?
1, 3, 349, 1047.
What is 1047 in binary?
10000010111 (hexadecimal 417, octal 2027).
What is the square root of 1047?
About 32.3574.
What is 1047 in Roman numerals?
MXLVII.
Is 1047 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1047?
1047 is a semiprime: 3 × 349, the product of two primes.