The number 1060
1060 is a composite number with 12 divisors. Its prime factorisation is × 5 × 53. Divisors (12): 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1060 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1060 is composite. Its prime factorisation is
- 3
The divisors add up to 2268; without 1060 itself that is 1208, so 1060 is abundant (1208 is more than 1060). Euler's totient φ(1060) = 416 numbers up to 1060 share no factor with it.
- 4
The digits of 1060 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1060 = 2^{2} \times 5 \times 53 \]1060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2268 |
| Euler totient φ(n) | 416 |
| Square | 1123600 |
| Cube | 1191016000 |
| Square root | 32.557641 (= 2√265) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.06 × |
1060 in other forms
| Form | Value |
|---|---|
| In words | one thousand and sixty |
| Roman numerals | MLX |
| Binary (base 2) | 10000100100 |
| Octal (base 8) | 2044 |
| Hexadecimal (base 16) | 424 |
| Base 3 | 1110021 |
| As time | 1060 seconds = 17 min 40 s |
Is 1060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1060 ÷ 2 = 530) | 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 | Yes (1060 ÷ 4 = 265) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1060 ÷ 5 = 212) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 | Yes (1060 ÷ 10 = 106) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1060 a prime number?
No. 1060 = × 5 × 53, so it is divisible by 2.
What are the factors of 1060?
1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060.
What is 1060 in binary?
10000100100 (hexadecimal 424, octal 2044).
What is the square root of 1060?
About 32.5576, exactly 2√265.
What is 1060 in Roman numerals?
MLX.
Is 1060 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1060?
It is a composite number with 12 divisors.