The number 47008
47008 is a composite number with 24 divisors. Its prime factorisation is × 13 × 113. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 113, 208, 226, 416, 452, 904 … 47008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47008: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47008 is composite. Its prime factorisation is
- 3
The divisors add up to 100548; without 47008 itself that is 53540, so 47008 is abundant (53540 is more than 47008). Euler's totient φ(47008) = 21504 numbers up to 47008 share no factor with it.
- 4
The digits of 47008 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47008 = 2^{5} \times 13 \times 113 \]47008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 100548 |
| Euler totient φ(n) | 21504 |
| Square | 2209752064 |
| Cube | 103876025024512 |
| Square root | 216.813284 (= 4√2938) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7008 × |
47008 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and eight |
| Binary (base 2) | 1011011110100000 |
| Octal (base 8) | 133640 |
| Hexadecimal (base 16) | B7A0 |
| Base 3 | 2101111001 |
| As time | 47008 seconds = 13 h 3 min 28 s |
Is 47008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47008 ÷ 2 = 23504) | 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 (47008 ÷ 4 = 11752) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (47008 ÷ 8 = 5876) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 47008 a prime number?
No. 47008 = × 13 × 113, so it is divisible by 2.
What are the factors of 47008?
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 113, 208, 226, 416, 452, 904, 1469, 1808, 2938, 3616, 5876, 11752, 23504, 47008.
What is 47008 in binary?
1011011110100000 (hexadecimal B7A0, octal 133640).
What is the square root of 47008?
About 216.8133, exactly 4√2938.
Is 47008 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47008?
47008 is a happy number: repeatedly adding the squares of its digits reaches 1.