The number 15004
15004 is a composite number with 18 divisors. Its prime factorisation is × × 31. Divisors (18): 1, 2, 4, 11, 22, 31, 44, 62, 121, 124, 242, 341, 484, 682, 1364, 3751 … 15004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15004 is composite. Its prime factorisation is
- 3
The divisors add up to 29792; without 15004 itself that is 14788, so 15004 is deficient (14788 is less than 15004). Euler's totient φ(15004) = 6600 numbers up to 15004 share no factor with it.
- 4
The digits of 15004 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15004 = 2^{2} \times 11^{2} \times 31 \]15004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 29792 |
| Euler totient φ(n) | 6600 |
| Square | 225120016 |
| Cube | 3377700720064 |
| Square root | 122.490816 (= 22√31) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.5004 × |
15004 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and four |
| Binary (base 2) | 11101010011100 |
| Octal (base 8) | 35234 |
| Hexadecimal (base 16) | 3A9C |
| Base 3 | 202120201 |
| As time | 15004 seconds = 4 h 10 min 4 s |
Is 15004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15004 ÷ 2 = 7502) | 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 (15004 ÷ 4 = 3751) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (15004 ÷ 11 = 1364) | 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 15004 a prime number?
No. 15004 = × × 31, so it is divisible by 2.
What are the factors of 15004?
1, 2, 4, 11, 22, 31, 44, 62, 121, 124, 242, 341, 484, 682, 1364, 3751, 7502, 15004.
What is 15004 in binary?
11101010011100 (hexadecimal 3A9C, octal 35234).
What is the square root of 15004?
About 122.4908, exactly 22√31.
Is 15004 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 15004?
It is a composite number with 18 divisors.