The number 14973
14973 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 23 × 31. Divisors (16): 1, 3, 7, 21, 23, 31, 69, 93, 161, 217, 483, 651, 713, 2139, 4991, 14973.
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How to work it out
- 1
14973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14973 is composite. Its prime factorisation is
- 3
The divisors add up to 24576; without 14973 itself that is 9603, so 14973 is deficient (9603 is less than 14973). Euler's totient φ(14973) = 7920 numbers up to 14973 share no factor with it.
- 4
The digits of 14973 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14973 = 3 \times 7 \times 23 \times 31 \]
14973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24576 |
| Euler totient φ(n) | 7920 |
| Square | 224190729 |
| Cube | 3356807785317 |
| Square root | 122.364210 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4973 × |
14973 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and seventy-three |
| Binary (base 2) | 11101001111101 |
| Octal (base 8) | 35175 |
| Hexadecimal (base 16) | 3A7D |
| Base 3 | 202112120 |
| As time | 14973 seconds = 4 h 9 min 33 s |
Is 14973 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14973 ÷ 3 = 4991) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14973 ÷ 7 = 2139) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14973 a prime number?
No. 14973 = 3 × 7 × 23 × 31, so it is divisible by 3.
What are the factors of 14973?
1, 3, 7, 21, 23, 31, 69, 93, 161, 217, 483, 651, 713, 2139, 4991, 14973.
What is 14973 in binary?
11101001111101 (hexadecimal 3A7D, octal 35175).
What is the square root of 14973?
About 122.3642.
Is 14973 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 14973?
It is a composite number with 16 divisors.