The number 14880
14880 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 31. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 32 … 14880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14880 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 14880 itself that is 33504, so 14880 is abundant (33504 is more than 14880). Euler's totient φ(14880) = 3840 numbers up to 14880 share no factor with it.
- 4
The digits of 14880 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14880 = 2^{5} \times 3 \times 5 \times 31 \]14880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 3840 |
| Square | 221414400 |
| Cube | 3294646272000 |
| Square root | 121.983605 (= 4√930) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.488 × |
14880 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand eight hundred and eighty |
| Binary (base 2) | 11101000100000 |
| Octal (base 8) | 35040 |
| Hexadecimal (base 16) | 3A20 |
| Base 3 | 202102010 |
| As time | 14880 seconds = 4 h 8 min 0 s |
Is 14880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14880 ÷ 2 = 7440) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14880 ÷ 3 = 4960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14880 ÷ 4 = 3720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14880 ÷ 5 = 2976) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14880 ÷ 6 = 2480) | 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 (14880 ÷ 8 = 1860) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14880 ÷ 10 = 1488) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14880 ÷ 12 = 1240) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14880 a prime number?
No. 14880 = × 3 × 5 × 31, so it is divisible by 2.
What are the factors of 14880?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 32, 40, 48, 60, 62, 80, 93, 96, 120, 124, 155, 160, 186, 240, 248, 310, 372, 465, 480, 496, 620, 744, 930, 992, 1240, 1488, 1860, 2480, 2976, 3720, 4960, 7440, 14880.
What is 14880 in binary?
11101000100000 (hexadecimal 3A20, octal 35040).
What is the square root of 14880?
About 121.9836, exactly 4√930.
Is 14880 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 14880?
It is a composite number with 48 divisors.