The number 60904
60904 is a composite number with 16 divisors. Its prime factorisation is × 23 × 331. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 331, 662, 1324, 2648, 7613, 15226, 30452, 60904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60904: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60904 is composite. Its prime factorisation is
- 3
The divisors add up to 119520; without 60904 itself that is 58616, so 60904 is deficient (58616 is less than 60904). Euler's totient φ(60904) = 29040 numbers up to 60904 share no factor with it.
- 4
The digits of 60904 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60904 = 2^{3} \times 23 \times 331 \]60904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 119520 |
| Euler totient φ(n) | 29040 |
| Square | 3709297216 |
| Cube | 225911037643264 |
| Square root | 246.787358 (= 2√15226) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.0904 × |
60904 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand nine hundred and four |
| Binary (base 2) | 1110110111101000 |
| Octal (base 8) | 166750 |
| Hexadecimal (base 16) | EDE8 |
| Base 3 | 10002112201 |
| As time | 60904 seconds = 16 h 55 min 4 s |
Is 60904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60904 ÷ 2 = 30452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60904 ÷ 4 = 15226) | 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 4) | 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 | Yes (60904 ÷ 8 = 7613) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60904 a prime number?
No. 60904 = × 23 × 331, so it is divisible by 2.
What are the factors of 60904?
1, 2, 4, 8, 23, 46, 92, 184, 331, 662, 1324, 2648, 7613, 15226, 30452, 60904.
What is 60904 in binary?
1110110111101000 (hexadecimal EDE8, octal 166750).
What is the square root of 60904?
About 246.7874, exactly 2√15226.
Is 60904 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60904?
60904 is a happy number: repeatedly adding the squares of its digits reaches 1.