The number 57464
57464 is a composite number with 16 divisors. Its prime factorisation is × 11 × 653. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 653, 1306, 2612, 5224, 7183, 14366, 28732, 57464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57464 is composite. Its prime factorisation is
- 3
The divisors add up to 117720; without 57464 itself that is 60256, so 57464 is abundant (60256 is more than 57464). Euler's totient φ(57464) = 26080 numbers up to 57464 share no factor with it.
- 4
The digits of 57464 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57464 = 2^{3} \times 11 \times 653 \]57464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 117720 |
| Euler totient φ(n) | 26080 |
| Square | 3302111296 |
| Cube | 189752523513344 |
| Square root | 239.716499 (= 2√14366) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7464 × |
57464 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and sixty-four |
| Binary (base 2) | 1110000001111000 |
| Octal (base 8) | 160170 |
| Hexadecimal (base 16) | E078 |
| Base 3 | 2220211022 |
| As time | 57464 seconds = 15 h 57 min 44 s |
Is 57464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57464 ÷ 2 = 28732) | 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 (57464 ÷ 4 = 14366) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 | Yes (57464 ÷ 8 = 7183) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57464 ÷ 11 = 5224) | 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 57464 a prime number?
No. 57464 = × 11 × 653, so it is divisible by 2.
What are the factors of 57464?
1, 2, 4, 8, 11, 22, 44, 88, 653, 1306, 2612, 5224, 7183, 14366, 28732, 57464.
What is 57464 in binary?
1110000001111000 (hexadecimal E078, octal 160170).
What is the square root of 57464?
About 239.7165, exactly 2√14366.
Is 57464 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 57464?
It is a composite number with 16 divisors.