The number 63008
63008 is a composite number with 24 divisors. Its prime factorisation is × 11 × 179. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 179, 352, 358, 716, 1432 … 63008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 63008: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
63008 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 63008 itself that is 73072, so 63008 is abundant (73072 is more than 63008). Euler's totient φ(63008) = 28480 numbers up to 63008 share no factor with it.
- 4
The digits of 63008 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63008 = 2^{5} \times 11 \times 179 \]63008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 28480 |
| Square | 3970008064 |
| Cube | 250142268096512 |
| Square root | 251.013944 (= 4√3938) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 29 |
| Scientific notation | 6.3008 × |
63008 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand and eight |
| Binary (base 2) | 1111011000100000 |
| Octal (base 8) | 173040 |
| Hexadecimal (base 16) | F620 |
| Base 3 | 10012102122 |
| As time | 63008 seconds = 17 h 30 min 8 s |
Is 63008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63008 ÷ 2 = 31504) | 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 (63008 ÷ 4 = 15752) | 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 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 | Yes (63008 ÷ 8 = 7876) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (63008 ÷ 11 = 5728) | 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 63008 a prime number?
No. 63008 = × 11 × 179, so it is divisible by 2.
What are the factors of 63008?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 179, 352, 358, 716, 1432, 1969, 2864, 3938, 5728, 7876, 15752, 31504, 63008.
What is 63008 in binary?
1111011000100000 (hexadecimal F620, octal 173040).
What is the square root of 63008?
About 251.0139, exactly 4√3938.
Is 63008 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 63008?
63008 is a happy number: repeatedly adding the squares of its digits reaches 1.