The number 52801
52801 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 397. Divisors (8): 1, 7, 19, 133, 397, 2779, 7543, 52801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52801: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52801 is composite. Its prime factorisation is
- 3
The divisors add up to 63680; without 52801 itself that is 10879, so 52801 is deficient (10879 is less than 52801). Euler's totient φ(52801) = 42768 numbers up to 52801 share no factor with it.
- 4
The digits of 52801 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52801 = 7 \times 19 \times 397 \]
52801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63680 |
| Euler totient φ(n) | 42768 |
| Square | 2787945601 |
| Cube | 147206315678401 |
| Square root | 229.784682 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2801 × |
52801 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand eight hundred and one |
| Binary (base 2) | 1100111001000001 |
| Octal (base 8) | 147101 |
| Hexadecimal (base 16) | CE41 |
| Base 3 | 2200102121 |
| As time | 52801 seconds = 14 h 40 min 1 s |
Is 52801 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 | Yes (52801 ÷ 7 = 7543) | 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 7) | 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 1) | 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 52801 a prime number?
No. 52801 = 7 × 19 × 397, so it is divisible by 7.
What are the factors of 52801?
1, 7, 19, 133, 397, 2779, 7543, 52801.
What is 52801 in binary?
1100111001000001 (hexadecimal CE41, octal 147101).
What is the square root of 52801?
About 229.7847.
Is 52801 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52801?
52801 is a happy number: repeatedly adding the squares of its digits reaches 1.