The number 5201
5201 is a composite number with 4 divisors. Its prime factorisation is 7 × 743. Divisors (4): 1, 7, 743, 5201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5201: a semiprime: 7 × 743, the product of two primes.
- 2
5201 is composite. Its prime factorisation is
- 3
The divisors add up to 5952; without 5201 itself that is 751, so 5201 is deficient (751 is less than 5201). Euler's totient φ(5201) = 4452 numbers up to 5201 share no factor with it.
- 4
The digits of 5201 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5201 = 7 \times 743 \]
5201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5952 |
| Euler totient φ(n) | 4452 |
| Square | 27050401 |
| Cube | 140689135601 |
| Square root | 72.117959 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.201 × |
5201 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and one |
| Binary (base 2) | 1010001010001 |
| Octal (base 8) | 12121 |
| Hexadecimal (base 16) | 1451 |
| Base 3 | 21010122 |
| As time | 5201 seconds = 1 h 26 min 41 s |
Is 5201 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5201 ÷ 7 = 743) | 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 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5201 a prime number?
No. 5201 = 7 × 743, so it is divisible by 7.
What are the factors of 5201?
1, 7, 743, 5201.
What is 5201 in binary?
1010001010001 (hexadecimal 1451, octal 12121).
What is the square root of 5201?
About 72.1180.
Is 5201 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 5201?
5201 is a semiprime: 7 × 743, the product of two primes.