The number 3026
3026 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 89. Divisors (8): 1, 2, 17, 34, 89, 178, 1513, 3026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3026: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3026 is composite. Its prime factorisation is
- 3
The divisors add up to 4860; without 3026 itself that is 1834, so 3026 is deficient (1834 is less than 3026). Euler's totient φ(3026) = 1408 numbers up to 3026 share no factor with it.
- 4
The digits of 3026 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3026 = 2 \times 17 \times 89 \]
3026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4860 |
| Euler totient φ(n) | 1408 |
| Square | 9156676 |
| Cube | 27708101576 |
| Square root | 55.009090 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 3.026 × |
3026 in other forms
| Form | Value |
|---|---|
| In words | three thousand and twenty-six |
| Roman numerals | MMMXXVI |
| Binary (base 2) | 101111010010 |
| Octal (base 8) | 5722 |
| Hexadecimal (base 16) | BD2 |
| Base 3 | 11011002 |
| As time | 3026 seconds = 50 min 26 s |
Is 3026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3026 ÷ 2 = 1513) | 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 1) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 3026 a prime number?
No. 3026 = 2 × 17 × 89, so it is divisible by 2.
What are the factors of 3026?
1, 2, 17, 34, 89, 178, 1513, 3026.
What is 3026 in binary?
101111010010 (hexadecimal BD2, octal 5722).
What is the square root of 3026?
About 55.0091.
What is 3026 in Roman numerals?
MMMXXVI.
Is 3026 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3026?
3026 is a happy number: repeatedly adding the squares of its digits reaches 1.