The number 67504
67504 is a composite number with 10 divisors. Its prime factorisation is × 4219. Divisors (10): 1, 2, 4, 8, 16, 4219, 8438, 16876, 33752, 67504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67504 is composite. Its prime factorisation is
- 3
The divisors add up to 130820; without 67504 itself that is 63316, so 67504 is deficient (63316 is less than 67504). Euler's totient φ(67504) = 33744 numbers up to 67504 share no factor with it.
- 4
The digits of 67504 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67504 = 2^{4} \times 4219 \]67504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 130820 |
| Euler totient φ(n) | 33744 |
| Square | 4556790016 |
| Cube | 307601553240064 |
| Square root | 259.815319 (= 4√4219) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7504 × |
67504 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and four |
| Binary (base 2) | 10000011110110000 |
| Octal (base 8) | 203660 |
| Hexadecimal (base 16) | 107B0 |
| Base 3 | 10102121011 |
| As time | 67504 seconds = 18 h 45 min 4 s |
Is 67504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67504 ÷ 2 = 33752) | 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 (67504 ÷ 4 = 16876) | 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 | Yes (67504 ÷ 8 = 8438) | 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 8) | 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 67504 a prime number?
No. 67504 = × 4219, so it is divisible by 2.
What are the factors of 67504?
1, 2, 4, 8, 16, 4219, 8438, 16876, 33752, 67504.
What is 67504 in binary?
10000011110110000 (hexadecimal 107B0, octal 203660).
What is the square root of 67504?
About 259.8153, exactly 4√4219.
Is 67504 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67504?
It is a composite number with 10 divisors.