The number 60404
60404 is a composite number with 6 divisors. Its prime factorisation is × 15101. Divisors (6): 1, 2, 4, 15101, 30202, 60404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60404: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60404 is composite. Its prime factorisation is
- 3
The divisors add up to 105714; without 60404 itself that is 45310, so 60404 is deficient (45310 is less than 60404). Euler's totient φ(60404) = 30200 numbers up to 60404 share no factor with it.
- 4
The digits of 60404 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60404 = 2^{2} \times 15101 \]60404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 105714 |
| Euler totient φ(n) | 30200 |
| Square | 3648643216 |
| Cube | 220392644819264 |
| Square root | 245.772252 (= 2√15101) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0404 × |
60404 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and four |
| Binary (base 2) | 1110101111110100 |
| Octal (base 8) | 165764 |
| Hexadecimal (base 16) | EBF4 |
| Base 3 | 10001212012 |
| As time | 60404 seconds = 16 h 46 min 44 s |
Is 60404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60404 ÷ 2 = 30202) | 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 (60404 ÷ 4 = 15101) | 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 | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 60404 a prime number?
No. 60404 = × 15101, so it is divisible by 2.
What are the factors of 60404?
1, 2, 4, 15101, 30202, 60404.
What is 60404 in binary?
1110101111110100 (hexadecimal EBF4, octal 165764).
What is the square root of 60404?
About 245.7723, exactly 2√15101.
Is 60404 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60404?
60404 is a happy number: repeatedly adding the squares of its digits reaches 1.