The number 14504
14504 is a composite number with 24 divisors. Its prime factorisation is × × 37. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 37, 49, 56, 74, 98, 148, 196, 259, 296 … 14504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14504: a Harshad number: divisible by its digit sum 14.
- 2
14504 is composite. Its prime factorisation is
- 3
The divisors add up to 32490; without 14504 itself that is 17986, so 14504 is abundant (17986 is more than 14504). Euler's totient φ(14504) = 6048 numbers up to 14504 share no factor with it.
- 4
The digits of 14504 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14504 = 2^{3} \times 7^{2} \times 37 \]14504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 32490 |
| Euler totient φ(n) | 6048 |
| Square | 210366016 |
| Cube | 3051148696064 |
| Square root | 120.432554 (= 14√74) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 19 |
| Scientific notation | 1.4504 × |
14504 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand five hundred and four |
| Binary (base 2) | 11100010101000 |
| Octal (base 8) | 34250 |
| Hexadecimal (base 16) | 38A8 |
| Base 3 | 201220012 |
| As time | 14504 seconds = 4 h 1 min 44 s |
Is 14504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14504 ÷ 2 = 7252) | 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 (14504 ÷ 4 = 3626) | 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 | Yes (14504 ÷ 7 = 2072) | 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 (14504 ÷ 8 = 1813) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 14504 a prime number?
No. 14504 = × × 37, so it is divisible by 2.
What are the factors of 14504?
1, 2, 4, 7, 8, 14, 28, 37, 49, 56, 74, 98, 148, 196, 259, 296, 392, 518, 1036, 1813, 2072, 3626, 7252, 14504.
What is 14504 in binary?
11100010101000 (hexadecimal 38A8, octal 34250).
What is the square root of 14504?
About 120.4326, exactly 14√74.
Is 14504 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14504?
14504 is a Harshad number: divisible by its digit sum 14.