The number 5008
5008 is a composite number with 10 divisors. Its prime factorisation is × 313. Divisors (10): 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5008 is composite. Its prime factorisation is
- 3
The divisors add up to 9734; without 5008 itself that is 4726, so 5008 is deficient (4726 is less than 5008). Euler's totient φ(5008) = 2496 numbers up to 5008 share no factor with it.
- 4
The digits of 5008 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5008 = 2^{4} \times 313 \]5008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 9734 |
| Euler totient φ(n) | 2496 |
| Square | 25080064 |
| Cube | 125600960512 |
| Square root | 70.767224 (= 4√313) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 134 |
| Scientific notation | 5.008 × |
5008 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eight |
| Binary (base 2) | 1001110010000 |
| Octal (base 8) | 11620 |
| Hexadecimal (base 16) | 1390 |
| Base 3 | 20212111 |
| As time | 5008 seconds = 1 h 23 min 28 s |
Is 5008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5008 ÷ 2 = 2504) | 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 (5008 ÷ 4 = 1252) | 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 (5008 ÷ 8 = 626) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5008 a prime number?
No. 5008 = × 313, so it is divisible by 2.
What are the factors of 5008?
1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008.
What is 5008 in binary?
1001110010000 (hexadecimal 1390, octal 11620).
What is the square root of 5008?
About 70.7672, exactly 4√313.
Is 5008 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5008?
It is a composite number with 10 divisors.