The number 60408
60408 is a composite number with 24 divisors. Its prime factorisation is × × 839. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 839, 1678, 2517, 3356 … 60408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60408: a Harshad number: divisible by its digit sum 18.
- 2
60408 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 60408 itself that is 103392, so 60408 is abundant (103392 is more than 60408). Euler's totient φ(60408) = 20112 numbers up to 60408 share no factor with it.
- 4
The digits of 60408 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60408 = 2^{3} \times 3^{2} \times 839 \]60408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 20112 |
| Square | 3649126464 |
| Cube | 220436431437312 |
| Square root | 245.780390 (= 6√1678) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0408 × |
60408 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and eight |
| Binary (base 2) | 1110101111111000 |
| Octal (base 8) | 165770 |
| Hexadecimal (base 16) | EBF8 |
| Base 3 | 10001212100 |
| As time | 60408 seconds = 16 h 46 min 48 s |
Is 60408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60408 ÷ 2 = 30204) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60408 ÷ 3 = 20136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60408 ÷ 4 = 15102) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60408 ÷ 6 = 10068) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (60408 ÷ 8 = 7551) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60408 ÷ 9 = 6712) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60408 ÷ 12 = 5034) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60408 a prime number?
No. 60408 = × × 839, so it is divisible by 2.
What are the factors of 60408?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 839, 1678, 2517, 3356, 5034, 6712, 7551, 10068, 15102, 20136, 30204, 60408.
What is 60408 in binary?
1110101111111000 (hexadecimal EBF8, octal 165770).
What is the square root of 60408?
About 245.7804, exactly 6√1678.
Is 60408 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60408?
60408 is a Harshad number: divisible by its digit sum 18.