The number 5041
5041 is a perfect square (71²). Its prime factorisation is . Divisors (3): 1, 71, 5041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5041: a perfect square (71²); the square of a prime (71²).
- 2
5041 is composite. Its prime factorisation is
- 3
The divisors add up to 5113; without 5041 itself that is 72, so 5041 is deficient (72 is less than 5041). Euler's totient φ(5041) = 4970 numbers up to 5041 share no factor with it.
- 4
The digits of 5041 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5041 = 71^{2} \]5041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 5113 |
| Euler totient φ(n) | 4970 |
| Square | 25411681 |
| Cube | 128100283921 |
| Square root | 71 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.041 × |
| Perfect power |
5041 in other forms
| Form | Value |
|---|---|
| In words | five thousand and forty-one |
| Binary (base 2) | 1001110110001 |
| Octal (base 8) | 11661 |
| Hexadecimal (base 16) | 13B1 |
| Base 3 | 20220201 |
| As time | 5041 seconds = 1 h 24 min 1 s |
Is 5041 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5041 a prime number?
No. 5041 = , so it is divisible by 71.
What are the factors of 5041?
1, 71, 5041.
What is 5041 in binary?
1001110110001 (hexadecimal 13B1, octal 11661).
What is the square root of 5041?
71, because 71 × 71 = 5041.
Is 5041 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5041?
5041 is a perfect square (71²); the square of a prime (71²).