The number 63004
63004 is a composite number with 12 divisors. Its prime factorisation is × 19 × 829. Divisors (12): 1, 2, 4, 19, 38, 76, 829, 1658, 3316, 15751, 31502, 63004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
63004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
63004 is composite. Its prime factorisation is
- 3
The divisors add up to 116200; without 63004 itself that is 53196, so 63004 is deficient (53196 is less than 63004). Euler's totient φ(63004) = 29808 numbers up to 63004 share no factor with it.
- 4
The digits of 63004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63004 = 2^{2} \times 19 \times 829 \]63004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116200 |
| Euler totient φ(n) | 29808 |
| Square | 3969504016 |
| Cube | 250094631024064 |
| Square root | 251.005976 (= 2√15751) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.3004 × |
63004 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand and four |
| Binary (base 2) | 1111011000011100 |
| Octal (base 8) | 173034 |
| Hexadecimal (base 16) | F61C |
| Base 3 | 10012102111 |
| As time | 63004 seconds = 17 h 30 min 4 s |
Is 63004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63004 ÷ 2 = 31502) | 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 (63004 ÷ 4 = 15751) | 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 4) | 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 4) | 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 7) | 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 63004 a prime number?
No. 63004 = × 19 × 829, so it is divisible by 2.
What are the factors of 63004?
1, 2, 4, 19, 38, 76, 829, 1658, 3316, 15751, 31502, 63004.
What is 63004 in binary?
1111011000011100 (hexadecimal F61C, octal 173034).
What is the square root of 63004?
About 251.0060, exactly 2√15751.
Is 63004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 63004?
It is a composite number with 12 divisors.