The number 57407
57407 is a composite number with 8 divisors. Its prime factorisation is 7 × 59 × 139. Divisors (8): 1, 7, 59, 139, 413, 973, 8201, 57407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57407: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57407 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 57407 itself that is 9793, so 57407 is deficient (9793 is less than 57407). Euler's totient φ(57407) = 48024 numbers up to 57407 share no factor with it.
- 4
The digits of 57407 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 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57407 = 7 \times 59 \times 139 \]
57407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 48024 |
| Square | 3295563649 |
| Cube | 189188422398143 |
| Square root | 239.597579 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7407 × |
57407 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and seven |
| Binary (base 2) | 1110000000111111 |
| Octal (base 8) | 160077 |
| Hexadecimal (base 16) | E03F |
| Base 3 | 2220202012 |
| As time | 57407 seconds = 15 h 56 min 47 s |
Is 57407 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57407 ÷ 7 = 8201) | 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 7) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57407 a prime number?
No. 57407 = 7 × 59 × 139, so it is divisible by 7.
What are the factors of 57407?
1, 7, 59, 139, 413, 973, 8201, 57407.
What is 57407 in binary?
1110000000111111 (hexadecimal E03F, octal 160077).
What is the square root of 57407?
About 239.5976.
Is 57407 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 57407?
57407 is a happy number: repeatedly adding the squares of its digits reaches 1.