The number 52001
52001 is a composite number with 4 divisors. Its prime factorisation is 149 × 349. Divisors (4): 1, 149, 349, 52001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52001: a semiprime: 149 × 349, the product of two primes.
- 2
52001 is composite. Its prime factorisation is
- 3
The divisors add up to 52500; without 52001 itself that is 499, so 52001 is deficient (499 is less than 52001). Euler's totient φ(52001) = 51504 numbers up to 52001 share no factor with it.
- 4
The digits of 52001 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52001 = 149 \times 349 \]
52001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 52500 |
| Euler totient φ(n) | 51504 |
| Square | 2704104001 |
| Cube | 140616112156001 |
| Square root | 228.037278 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.2001 × |
52001 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and one |
| Binary (base 2) | 1100101100100001 |
| Octal (base 8) | 145441 |
| Hexadecimal (base 16) | CB21 |
| Base 3 | 2122022222 |
| As time | 52001 seconds = 14 h 26 min 41 s |
Is 52001 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 | No (remainder 5) | 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 4) | 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 52001 a prime number?
No. 52001 = 149 × 349, so it is divisible by 149.
What are the factors of 52001?
1, 149, 349, 52001.
What is 52001 in binary?
1100101100100001 (hexadecimal CB21, octal 145441).
What is the square root of 52001?
About 228.0373.
Is 52001 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 52001?
52001 is a semiprime: 149 × 349, the product of two primes.