The number 14480
14480 is a composite number with 20 divisors. Its prime factorisation is × 5 × 181. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 181, 362, 724, 905, 1448, 1810 … 14480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14480: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14480 is composite. Its prime factorisation is
- 3
The divisors add up to 33852; without 14480 itself that is 19372, so 14480 is abundant (19372 is more than 14480). Euler's totient φ(14480) = 5760 numbers up to 14480 share no factor with it.
- 4
The digits of 14480 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14480 = 2^{4} \times 5 \times 181 \]14480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 33852 |
| Euler totient φ(n) | 5760 |
| Square | 209670400 |
| Cube | 3036027392000 |
| Square root | 120.332872 (= 4√905) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.448 × |
14480 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and eighty |
| Binary (base 2) | 11100010010000 |
| Octal (base 8) | 34220 |
| Hexadecimal (base 16) | 3890 |
| Base 3 | 201212022 |
| As time | 14480 seconds = 4 h 1 min 20 s |
Is 14480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14480 ÷ 2 = 7240) | 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 (14480 ÷ 4 = 3620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14480 ÷ 5 = 2896) | 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 4) | 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 (14480 ÷ 8 = 1810) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14480 ÷ 10 = 1448) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 14480 a prime number?
No. 14480 = × 5 × 181, so it is divisible by 2.
What are the factors of 14480?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 181, 362, 724, 905, 1448, 1810, 2896, 3620, 7240, 14480.
What is 14480 in binary?
11100010010000 (hexadecimal 3890, octal 34220).
What is the square root of 14480?
About 120.3329, exactly 4√905.
Is 14480 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14480?
14480 is a happy number: repeatedly adding the squares of its digits reaches 1.