The number 14672
14672 is a composite number with 20 divisors. Its prime factorisation is × 7 × 131. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 131, 262, 524, 917, 1048, 1834 … 14672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14672 is composite. Its prime factorisation is
- 3
The divisors add up to 32736; without 14672 itself that is 18064, so 14672 is abundant (18064 is more than 14672). Euler's totient φ(14672) = 6240 numbers up to 14672 share no factor with it.
- 4
The digits of 14672 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14672 = 2^{4} \times 7 \times 131 \]14672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 32736 |
| Euler totient φ(n) | 6240 |
| Square | 215267584 |
| Cube | 3158405992448 |
| Square root | 121.128031 (= 4√917) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.4672 × |
14672 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand six hundred and seventy-two |
| Binary (base 2) | 11100101010000 |
| Octal (base 8) | 34520 |
| Hexadecimal (base 16) | 3950 |
| Base 3 | 202010102 |
| As time | 14672 seconds = 4 h 4 min 32 s |
Is 14672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14672 ÷ 2 = 7336) | 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 (14672 ÷ 4 = 3668) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (14672 ÷ 7 = 2096) | 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 (14672 ÷ 8 = 1834) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 14672 a prime number?
No. 14672 = × 7 × 131, so it is divisible by 2.
What are the factors of 14672?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 131, 262, 524, 917, 1048, 1834, 2096, 3668, 7336, 14672.
What is 14672 in binary?
11100101010000 (hexadecimal 3950, octal 34520).
What is the square root of 14672?
About 121.1280, exactly 4√917.
Is 14672 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 14672?
It is a composite number with 20 divisors.