The number 14976
14976 is a composite number with 48 divisors. Its prime factorisation is × × 13. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39 … 14976.
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How to work it out
- 1
14976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14976 is composite. Its prime factorisation is
- 3
The divisors add up to 46410; without 14976 itself that is 31434, so 14976 is abundant (31434 is more than 14976). Euler's totient φ(14976) = 4608 numbers up to 14976 share no factor with it.
- 4
The digits of 14976 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14976 = 2^{7} \times 3^{2} \times 13 \]14976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 46410 |
| Euler totient φ(n) | 4608 |
| Square | 224280576 |
| Cube | 3358825906176 |
| Square root | 122.376468 (= 24√26) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.4976 × |
14976 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and seventy-six |
| Binary (base 2) | 11101010000000 |
| Octal (base 8) | 35200 |
| Hexadecimal (base 16) | 3A80 |
| Base 3 | 202112200 |
| As time | 14976 seconds = 4 h 9 min 36 s |
Is 14976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14976 ÷ 2 = 7488) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14976 ÷ 3 = 4992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14976 ÷ 4 = 3744) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14976 ÷ 6 = 2496) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (14976 ÷ 8 = 1872) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14976 ÷ 9 = 1664) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14976 ÷ 12 = 1248) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14976 a prime number?
No. 14976 = × × 13, so it is divisible by 2.
What are the factors of 14976?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 128, 144, 156, 192, 208, 234, 288, 312, 384, 416, 468, 576, 624, 832, 936, 1152, 1248, 1664, 1872, 2496, 3744, 4992, 7488, 14976.
What is 14976 in binary?
11101010000000 (hexadecimal 3A80, octal 35200).
What is the square root of 14976?
About 122.3765, exactly 24√26.
Is 14976 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 14976?
It is a composite number with 48 divisors.