The number 15002
15002 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 577. Divisors (8): 1, 2, 13, 26, 577, 1154, 7501, 15002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15002 is composite. Its prime factorisation is
- 3
The divisors add up to 24276; without 15002 itself that is 9274, so 15002 is deficient (9274 is less than 15002). Euler's totient φ(15002) = 6912 numbers up to 15002 share no factor with it.
- 4
The digits of 15002 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15002 = 2 \times 13 \times 577 \]
15002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24276 |
| Euler totient φ(n) | 6912 |
| Square | 225060004 |
| Cube | 3376350180008 |
| Square root | 122.482652 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 177 |
| Scientific notation | 1.5002 × |
15002 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and two |
| Binary (base 2) | 11101010011010 |
| Octal (base 8) | 35232 |
| Hexadecimal (base 16) | 3A9A |
| Base 3 | 202120122 |
| As time | 15002 seconds = 4 h 10 min 2 s |
Is 15002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15002 ÷ 2 = 7501) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15002 a prime number?
No. 15002 = 2 × 13 × 577, so it is divisible by 2.
What are the factors of 15002?
1, 2, 13, 26, 577, 1154, 7501, 15002.
What is 15002 in binary?
11101010011010 (hexadecimal 3A9A, octal 35232).
What is the square root of 15002?
About 122.4827.
Is 15002 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 15002?
It is a composite number with 8 divisors.