The number 57021
57021 is a composite number with 8 divisors. Its prime factorisation is 3 × 83 × 229. Divisors (8): 1, 3, 83, 229, 249, 687, 19007, 57021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57021: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57021 is composite. Its prime factorisation is
- 3
The divisors add up to 77280; without 57021 itself that is 20259, so 57021 is deficient (20259 is less than 57021). Euler's totient φ(57021) = 37392 numbers up to 57021 share no factor with it.
- 4
The digits of 57021 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57021 = 3 \times 83 \times 229 \]
57021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77280 |
| Euler totient φ(n) | 37392 |
| Square | 3251394441 |
| Cube | 185397762420261 |
| Square root | 238.790703 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7021 × |
57021 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and twenty-one |
| Binary (base 2) | 1101111010111101 |
| Octal (base 8) | 157275 |
| Hexadecimal (base 16) | DEBD |
| Base 3 | 2220012220 |
| As time | 57021 seconds = 15 h 50 min 21 s |
Is 57021 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 (57021 ÷ 3 = 19007) | 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 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | 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 57021 a prime number?
No. 57021 = 3 × 83 × 229, so it is divisible by 3.
What are the factors of 57021?
1, 3, 83, 229, 249, 687, 19007, 57021.
What is 57021 in binary?
1101111010111101 (hexadecimal DEBD, octal 157275).
What is the square root of 57021?
About 238.7907.
Is 57021 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 57021?
57021 is a happy number: repeatedly adding the squares of its digits reaches 1.