The number 1011
1011 is a composite number with 4 divisors. Its prime factorisation is 3 × 337. Divisors (4): 1, 3, 337, 1011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1011: a Harshad number: divisible by its digit sum 3; a semiprime: 3 × 337, the product of two primes.
- 2
1011 is composite. Its prime factorisation is
- 3
The divisors add up to 1352; without 1011 itself that is 341, so 1011 is deficient (341 is less than 1011). Euler's totient φ(1011) = 672 numbers up to 1011 share no factor with it.
- 4
The digits of 1011 add up to 3, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1011 = 3 \times 337 \]
1011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1352 |
| Euler totient φ(n) | 672 |
| Square | 1022121 |
| Cube | 1033364331 |
| Square root | 31.796226 |
| Digit sum / digital root | 3 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 1.011 × |
1011 in other forms
| Form | Value |
|---|---|
| In words | one thousand and eleven |
| Roman numerals | MXI |
| Binary (base 2) | 1111110011 |
| Octal (base 8) | 1763 |
| Hexadecimal (base 16) | 3F3 |
| Base 3 | 1101110 |
| As time | 1011 seconds = 16 min 51 s |
Is 1011 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 (1011 ÷ 3 = 337) | 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 1) | 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 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 3) | 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 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1011 a prime number?
No. 1011 = 3 × 337, so it is divisible by 3.
What are the factors of 1011?
1, 3, 337, 1011.
What is 1011 in binary?
1111110011 (hexadecimal 3F3, octal 1763).
What is the square root of 1011?
About 31.7962.
What is 1011 in Roman numerals?
MXI.
Is 1011 divisible by 3?
Yes. Its digits add up to 3, a multiple of 3.
What is special about the number 1011?
1011 is a Harshad number: divisible by its digit sum 3; a semiprime: 3 × 337, the product of two primes.