The number 57740
57740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2887. Divisors (12): 1, 2, 4, 5, 10, 20, 2887, 5774, 11548, 14435, 28870, 57740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57740: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57740 is composite. Its prime factorisation is
- 3
The divisors add up to 121296; without 57740 itself that is 63556, so 57740 is abundant (63556 is more than 57740). Euler's totient φ(57740) = 23088 numbers up to 57740 share no factor with it.
- 4
The digits of 57740 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57740 = 2^{2} \times 5 \times 2887 \]57740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 121296 |
| Euler totient φ(n) | 23088 |
| Square | 3333907600 |
| Cube | 192499824824000 |
| Square root | 240.291490 (= 2√14435) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.774 × |
57740 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and forty |
| Binary (base 2) | 1110000110001100 |
| Octal (base 8) | 160614 |
| Hexadecimal (base 16) | E18C |
| Base 3 | 2221012112 |
| As time | 57740 seconds = 16 h 2 min 20 s |
Is 57740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57740 ÷ 2 = 28870) | 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 | Yes (57740 ÷ 4 = 14435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57740 ÷ 5 = 11548) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57740 ÷ 10 = 5774) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57740 a prime number?
No. 57740 = × 5 × 2887, so it is divisible by 2.
What are the factors of 57740?
1, 2, 4, 5, 10, 20, 2887, 5774, 11548, 14435, 28870, 57740.
What is 57740 in binary?
1110000110001100 (hexadecimal E18C, octal 160614).
What is the square root of 57740?
About 240.2915, exactly 2√14435.
Is 57740 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 57740?
57740 is a happy number: repeatedly adding the squares of its digits reaches 1.