The number 14972
14972 is a composite number with 12 divisors. Its prime factorisation is × 19 × 197. Divisors (12): 1, 2, 4, 19, 38, 76, 197, 394, 788, 3743, 7486, 14972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14972 is composite. Its prime factorisation is
- 3
The divisors add up to 27720; without 14972 itself that is 12748, so 14972 is deficient (12748 is less than 14972). Euler's totient φ(14972) = 7056 numbers up to 14972 share no factor with it.
- 4
The digits of 14972 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14972 = 2^{2} \times 19 \times 197 \]14972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27720 |
| Euler totient φ(n) | 7056 |
| Square | 224160784 |
| Cube | 3356135258048 |
| Square root | 122.360124 (= 2√3743) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4972 × |
14972 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and seventy-two |
| Binary (base 2) | 11101001111100 |
| Octal (base 8) | 35174 |
| Hexadecimal (base 16) | 3A7C |
| Base 3 | 202112112 |
| As time | 14972 seconds = 4 h 9 min 32 s |
Is 14972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14972 ÷ 2 = 7486) | 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 (14972 ÷ 4 = 3743) | 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 | No (remainder 6) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 14972 a prime number?
No. 14972 = × 19 × 197, so it is divisible by 2.
What are the factors of 14972?
1, 2, 4, 19, 38, 76, 197, 394, 788, 3743, 7486, 14972.
What is 14972 in binary?
11101001111100 (hexadecimal 3A7C, octal 35174).
What is the square root of 14972?
About 122.3601, exactly 2√3743.
Is 14972 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 14972?
It is a composite number with 12 divisors.