The number 14768
14768 is a composite number with 20 divisors. Its prime factorisation is × 13 × 71. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 71, 104, 142, 208, 284, 568, 923, 1136 … 14768.
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How to work it out
- 1
What is special about 14768: a Harshad number: divisible by its digit sum 26.
- 2
14768 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 14768 itself that is 16480, so 14768 is abundant (16480 is more than 14768). Euler's totient φ(14768) = 6720 numbers up to 14768 share no factor with it.
- 4
The digits of 14768 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14768 = 2^{4} \times 13 \times 71 \]14768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 6720 |
| Square | 218093824 |
| Cube | 3220809592832 |
| Square root | 121.523660 (= 4√923) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4768 × |
14768 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and sixty-eight |
| Binary (base 2) | 11100110110000 |
| Octal (base 8) | 34660 |
| Hexadecimal (base 16) | 39B0 |
| Base 3 | 202020222 |
| As time | 14768 seconds = 4 h 6 min 8 s |
Is 14768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14768 ÷ 2 = 7384) | 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 (14768 ÷ 4 = 3692) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (14768 ÷ 8 = 1846) | 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 8) | 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 14768 a prime number?
No. 14768 = × 13 × 71, so it is divisible by 2.
What are the factors of 14768?
1, 2, 4, 8, 13, 16, 26, 52, 71, 104, 142, 208, 284, 568, 923, 1136, 1846, 3692, 7384, 14768.
What is 14768 in binary?
11100110110000 (hexadecimal 39B0, octal 34660).
What is the square root of 14768?
About 121.5237, exactly 4√923.
Is 14768 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 14768?
14768 is a Harshad number: divisible by its digit sum 26.