The number 14904
14904 is a composite number with 40 divisors. Its prime factorisation is × × 23. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69 … 14904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14904: a Harshad number: divisible by its digit sum 18.
- 2
14904 is composite. Its prime factorisation is
- 3
The divisors add up to 43560; without 14904 itself that is 28656, so 14904 is abundant (28656 is more than 14904). Euler's totient φ(14904) = 4752 numbers up to 14904 share no factor with it.
- 4
The digits of 14904 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14904 = 2^{3} \times 3^{4} \times 23 \]14904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 43560 |
| Euler totient φ(n) | 4752 |
| Square | 222129216 |
| Cube | 3310613835264 |
| Square root | 122.081940 (= 18√46) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4904 × |
14904 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and four |
| Binary (base 2) | 11101000111000 |
| Octal (base 8) | 35070 |
| Hexadecimal (base 16) | 3A38 |
| Base 3 | 202110000 |
| As time | 14904 seconds = 4 h 8 min 24 s |
Is 14904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14904 ÷ 2 = 7452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14904 ÷ 3 = 4968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14904 ÷ 4 = 3726) | 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 | Yes (14904 ÷ 6 = 2484) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (14904 ÷ 8 = 1863) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14904 ÷ 9 = 1656) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14904 ÷ 12 = 1242) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14904 a prime number?
No. 14904 = × × 23, so it is divisible by 2.
What are the factors of 14904?
1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 81, 92, 108, 138, 162, 184, 207, 216, 276, 324, 414, 552, 621, 648, 828, 1242, 1656, 1863, 2484, 3726, 4968, 7452, 14904.
What is 14904 in binary?
11101000111000 (hexadecimal 3A38, octal 35070).
What is the square root of 14904?
About 122.0819, exactly 18√46.
Is 14904 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14904?
14904 is a Harshad number: divisible by its digit sum 18.