The number 16008
16008 is a composite number with 32 divisors. Its prime factorisation is × 3 × 23 × 29. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 23, 24, 29, 46, 58, 69, 87, 92, 116 … 16008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16008 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 16008 itself that is 27192, so 16008 is abundant (27192 is more than 16008). Euler's totient φ(16008) = 4928 numbers up to 16008 share no factor with it.
- 4
The digits of 16008 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16008 = 2^{3} \times 3 \times 23 \times 29 \]16008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 4928 |
| Square | 256256064 |
| Cube | 4102147072512 |
| Square root | 126.522725 (= 2√4002) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.6008 × |
16008 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and eight |
| Binary (base 2) | 11111010001000 |
| Octal (base 8) | 37210 |
| Hexadecimal (base 16) | 3E88 |
| Base 3 | 210221220 |
| As time | 16008 seconds = 4 h 26 min 48 s |
Is 16008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16008 ÷ 2 = 8004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16008 ÷ 3 = 5336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16008 ÷ 4 = 4002) | 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 (16008 ÷ 6 = 2668) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (16008 ÷ 8 = 2001) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (16008 ÷ 12 = 1334) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16008 a prime number?
No. 16008 = × 3 × 23 × 29, so it is divisible by 2.
What are the factors of 16008?
1, 2, 3, 4, 6, 8, 12, 23, 24, 29, 46, 58, 69, 87, 92, 116, 138, 174, 184, 232, 276, 348, 552, 667, 696, 1334, 2001, 2668, 4002, 5336, 8004, 16008.
What is 16008 in binary?
11111010001000 (hexadecimal 3E88, octal 37210).
What is the square root of 16008?
About 126.5227, exactly 2√4002.
Is 16008 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16008?
It is a composite number with 32 divisors.