The number 57801
57801 is a composite number with 4 divisors. Its prime factorisation is 3 × 19267. Divisors (4): 1, 3, 19267, 57801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57801: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 19267, the product of two primes.
- 2
57801 is composite. Its prime factorisation is
- 3
The divisors add up to 77072; without 57801 itself that is 19271, so 57801 is deficient (19271 is less than 57801). Euler's totient φ(57801) = 38532 numbers up to 57801 share no factor with it.
- 4
The digits of 57801 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57801 = 3 \times 19267 \]
57801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 77072 |
| Euler totient φ(n) | 38532 |
| Square | 3340955601 |
| Cube | 193110574693401 |
| Square root | 240.418385 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.7801 × |
57801 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand eight hundred and one |
| Binary (base 2) | 1110000111001001 |
| Octal (base 8) | 160711 |
| Hexadecimal (base 16) | E1C9 |
| Base 3 | 2221021210 |
| As time | 57801 seconds = 16 h 3 min 21 s |
Is 57801 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 | Yes (57801 ÷ 3 = 19267) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57801 a prime number?
No. 57801 = 3 × 19267, so it is divisible by 3.
What are the factors of 57801?
1, 3, 19267, 57801.
What is 57801 in binary?
1110000111001001 (hexadecimal E1C9, octal 160711).
What is the square root of 57801?
About 240.4184.
Is 57801 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57801?
57801 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 19267, the product of two primes.