The number 15008
15008 is a composite number with 24 divisors. Its prime factorisation is × 7 × 67. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 67, 112, 134, 224, 268, 469 … 15008.
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How to work it out
- 1
What is special about 15008: a Harshad number: divisible by its digit sum 14.
- 2
15008 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 15008 itself that is 19264, so 15008 is abundant (19264 is more than 15008). Euler's totient φ(15008) = 6336 numbers up to 15008 share no factor with it.
- 4
The digits of 15008 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15008 = 2^{5} \times 7 \times 67 \]15008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 6336 |
| Square | 225240064 |
| Cube | 3380402880512 |
| Square root | 122.507143 (= 4√938) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5008 × |
15008 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and eight |
| Binary (base 2) | 11101010100000 |
| Octal (base 8) | 35240 |
| Hexadecimal (base 16) | 3AA0 |
| Base 3 | 202120212 |
| As time | 15008 seconds = 4 h 10 min 8 s |
Is 15008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15008 ÷ 2 = 7504) | 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 (15008 ÷ 4 = 3752) | 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 | Yes (15008 ÷ 7 = 2144) | 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 (15008 ÷ 8 = 1876) | 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 4) | 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 15008 a prime number?
No. 15008 = × 7 × 67, so it is divisible by 2.
What are the factors of 15008?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 67, 112, 134, 224, 268, 469, 536, 938, 1072, 1876, 2144, 3752, 7504, 15008.
What is 15008 in binary?
11101010100000 (hexadecimal 3AA0, octal 35240).
What is the square root of 15008?
About 122.5071, exactly 4√938.
Is 15008 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 15008?
15008 is a Harshad number: divisible by its digit sum 14.