The number 60008
60008 is a composite number with 16 divisors. Its prime factorisation is × 13 × 577. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 577, 1154, 2308, 4616, 7501, 15002, 30004, 60008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60008: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60008 is composite. Its prime factorisation is
- 3
The divisors add up to 121380; without 60008 itself that is 61372, so 60008 is abundant (61372 is more than 60008). Euler's totient φ(60008) = 27648 numbers up to 60008 share no factor with it.
- 4
The digits of 60008 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60008 = 2^{3} \times 13 \times 577 \]60008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121380 |
| Euler totient φ(n) | 27648 |
| Square | 3600960064 |
| Cube | 216086411520512 |
| Square root | 244.965304 (= 2√15002) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.0008 × |
60008 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and eight |
| Binary (base 2) | 1110101001101000 |
| Octal (base 8) | 165150 |
| Hexadecimal (base 16) | EA68 |
| Base 3 | 10001022112 |
| As time | 60008 seconds = 16 h 40 min 8 s |
Is 60008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60008 ÷ 2 = 30004) | 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 (60008 ÷ 4 = 15002) | 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 | No (remainder 2) | 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 (60008 ÷ 8 = 7501) | 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 8) | 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 60008 a prime number?
No. 60008 = × 13 × 577, so it is divisible by 2.
What are the factors of 60008?
1, 2, 4, 8, 13, 26, 52, 104, 577, 1154, 2308, 4616, 7501, 15002, 30004, 60008.
What is 60008 in binary?
1110101001101000 (hexadecimal EA68, octal 165150).
What is the square root of 60008?
About 244.9653, exactly 2√15002.
Is 60008 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60008?
60008 is a happy number: repeatedly adding the squares of its digits reaches 1.