The number 13004
13004 is a composite number with 6 divisors. Its prime factorisation is × 3251. Divisors (6): 1, 2, 4, 3251, 6502, 13004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13004 is composite. Its prime factorisation is
- 3
The divisors add up to 22764; without 13004 itself that is 9760, so 13004 is deficient (9760 is less than 13004). Euler's totient φ(13004) = 6500 numbers up to 13004 share no factor with it.
- 4
The digits of 13004 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13004 = 2^{2} \times 3251 \]13004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 22764 |
| Euler totient φ(n) | 6500 |
| Square | 169104016 |
| Cube | 2199028624064 |
| Square root | 114.035082 (= 2√3251) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3004 × |
13004 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and four |
| Binary (base 2) | 11001011001100 |
| Octal (base 8) | 31314 |
| Hexadecimal (base 16) | 32CC |
| Base 3 | 122211122 |
| As time | 13004 seconds = 3 h 36 min 44 s |
Is 13004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13004 ÷ 2 = 6502) | 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 (13004 ÷ 4 = 3251) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | 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 | No (remainder 2) | 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 13004 a prime number?
No. 13004 = × 3251, so it is divisible by 2.
What are the factors of 13004?
1, 2, 4, 3251, 6502, 13004.
What is 13004 in binary?
11001011001100 (hexadecimal 32CC, octal 31314).
What is the square root of 13004?
About 114.0351, exactly 2√3251.
Is 13004 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13004?
It is a composite number with 6 divisors.