The number 57402
57402 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1063. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1063, 2126, 3189, 6378, 9567, 19134, 28701, 57402.
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How to work it out
- 1
What is special about 57402: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
57402 is composite. Its prime factorisation is
- 3
The divisors add up to 127680; without 57402 itself that is 70278, so 57402 is abundant (70278 is more than 57402). Euler's totient φ(57402) = 19116 numbers up to 57402 share no factor with it.
- 4
The digits of 57402 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57402 = 2 \times 3^{3} \times 1063 \]57402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 127680 |
| Euler totient φ(n) | 19116 |
| Square | 3294989604 |
| Cube | 189138993248808 |
| Square root | 239.587145 (= 3√6378) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7402 × |
57402 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and two |
| Binary (base 2) | 1110000000111010 |
| Octal (base 8) | 160072 |
| Hexadecimal (base 16) | E03A |
| Base 3 | 2220202000 |
| As time | 57402 seconds = 15 h 56 min 42 s |
Is 57402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57402 ÷ 2 = 28701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57402 ÷ 3 = 19134) | 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 (57402 ÷ 6 = 9567) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (57402 ÷ 9 = 6378) | 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 4) | 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 57402 a prime number?
No. 57402 = 2 × × 1063, so it is divisible by 2.
What are the factors of 57402?
1, 2, 3, 6, 9, 18, 27, 54, 1063, 2126, 3189, 6378, 9567, 19134, 28701, 57402.
What is 57402 in binary?
1110000000111010 (hexadecimal E03A, octal 160072).
What is the square root of 57402?
About 239.5871, exactly 3√6378.
Is 57402 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57402?
57402 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.