The number 14720
14720 is a composite number with 32 divisors. Its prime factorisation is × 5 × 23. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115 … 14720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14720: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14720 is composite. Its prime factorisation is
- 3
The divisors add up to 36720; without 14720 itself that is 22000, so 14720 is abundant (22000 is more than 14720). Euler's totient φ(14720) = 5632 numbers up to 14720 share no factor with it.
- 4
The digits of 14720 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14720 = 2^{7} \times 5 \times 23 \]14720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 36720 |
| Euler totient φ(n) | 5632 |
| Square | 216678400 |
| Cube | 3189506048000 |
| Square root | 121.326007 (= 8√230) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.472 × |
14720 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and twenty |
| Binary (base 2) | 11100110000000 |
| Octal (base 8) | 34600 |
| Hexadecimal (base 16) | 3980 |
| Base 3 | 202012012 |
| As time | 14720 seconds = 4 h 5 min 20 s |
Is 14720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14720 ÷ 2 = 7360) | 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 (14720 ÷ 4 = 3680) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14720 ÷ 5 = 2944) | 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 | Yes (14720 ÷ 8 = 1840) | 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 | Yes (14720 ÷ 10 = 1472) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14720 a prime number?
No. 14720 = × 5 × 23, so it is divisible by 2.
What are the factors of 14720?
1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 128, 160, 184, 230, 320, 368, 460, 640, 736, 920, 1472, 1840, 2944, 3680, 7360, 14720.
What is 14720 in binary?
11100110000000 (hexadecimal 3980, octal 34600).
What is the square root of 14720?
About 121.3260, exactly 8√230.
Is 14720 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14720?
14720 is a happy number: repeatedly adding the squares of its digits reaches 1.