The number 1034
1034 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 47. Divisors (8): 1, 2, 11, 22, 47, 94, 517, 1034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1034 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1034 is composite. Its prime factorisation is
- 3
The divisors add up to 1728; without 1034 itself that is 694, so 1034 is deficient (694 is less than 1034). Euler's totient φ(1034) = 460 numbers up to 1034 share no factor with it.
- 4
The digits of 1034 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1034 = 2 \times 11 \times 47 \]
1034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1728 |
| Euler totient φ(n) | 460 |
| Square | 1069156 |
| Cube | 1105507304 |
| Square root | 32.155870 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.034 × |
1034 in other forms
| Form | Value |
|---|---|
| In words | one thousand and thirty-four |
| Roman numerals | MXXXIV |
| Binary (base 2) | 10000001010 |
| Octal (base 8) | 2012 |
| Hexadecimal (base 16) | 40A |
| Base 3 | 1102022 |
| As time | 1034 seconds = 17 min 14 s |
Is 1034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1034 ÷ 2 = 517) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1034 ÷ 11 = 94) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1034 a prime number?
No. 1034 = 2 × 11 × 47, so it is divisible by 2.
What are the factors of 1034?
1, 2, 11, 22, 47, 94, 517, 1034.
What is 1034 in binary?
10000001010 (hexadecimal 40A, octal 2012).
What is the square root of 1034?
About 32.1559.
What is 1034 in Roman numerals?
MXXXIV.
Is 1034 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1034?
It is a composite number with 8 divisors.