The number 57162
57162 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1361. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1361, 2722, 4083, 8166, 9527, 19054, 28581, 57162.
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How to work it out
- 1
What is special about 57162: a Harshad number: divisible by its digit sum 21.
- 2
57162 is composite. Its prime factorisation is
- 3
The divisors add up to 130752; without 57162 itself that is 73590, so 57162 is abundant (73590 is more than 57162). Euler's totient φ(57162) = 16320 numbers up to 57162 share no factor with it.
- 4
The digits of 57162 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 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57162 = 2 \times 3 \times 7 \times 1361 \]
57162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 130752 |
| Euler totient φ(n) | 16320 |
| Square | 3267494244 |
| Cube | 186776505975528 |
| Square root | 239.085759 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7162 × |
57162 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and sixty-two |
| Binary (base 2) | 1101111101001010 |
| Octal (base 8) | 157512 |
| Hexadecimal (base 16) | DF4A |
| Base 3 | 2220102010 |
| As time | 57162 seconds = 15 h 52 min 42 s |
Is 57162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57162 ÷ 2 = 28581) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57162 ÷ 3 = 19054) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57162 ÷ 6 = 9527) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57162 ÷ 7 = 8166) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57162 a prime number?
No. 57162 = 2 × 3 × 7 × 1361, so it is divisible by 2.
What are the factors of 57162?
1, 2, 3, 6, 7, 14, 21, 42, 1361, 2722, 4083, 8166, 9527, 19054, 28581, 57162.
What is 57162 in binary?
1101111101001010 (hexadecimal DF4A, octal 157512).
What is the square root of 57162?
About 239.0858.
Is 57162 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57162?
57162 is a Harshad number: divisible by its digit sum 21.