The number 5026
5026 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 359. Divisors (8): 1, 2, 7, 14, 359, 718, 2513, 5026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5026 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5026 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 5026 itself that is 3614, so 5026 is deficient (3614 is less than 5026). Euler's totient φ(5026) = 2148 numbers up to 5026 share no factor with it.
- 4
The digits of 5026 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5026 = 2 \times 7 \times 359 \]
5026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 2148 |
| Square | 25260676 |
| Cube | 126960157576 |
| Square root | 70.894287 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 134 |
| Scientific notation | 5.026 × |
5026 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twenty-six |
| Binary (base 2) | 1001110100010 |
| Octal (base 8) | 11642 |
| Hexadecimal (base 16) | 13A2 |
| Base 3 | 20220011 |
| As time | 5026 seconds = 1 h 23 min 46 s |
Is 5026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5026 ÷ 2 = 2513) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5026 ÷ 7 = 718) | 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 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5026 a prime number?
No. 5026 = 2 × 7 × 359, so it is divisible by 2.
What are the factors of 5026?
1, 2, 7, 14, 359, 718, 2513, 5026.
What is 5026 in binary?
1001110100010 (hexadecimal 13A2, octal 11642).
What is the square root of 5026?
About 70.8943.
Is 5026 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5026?
It is a composite number with 8 divisors.