The number 14740
14740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 67. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 67, 110, 134, 220, 268, 335 … 14740.
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How to work it out
- 1
What is special about 14740: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14740 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 14740 itself that is 19532, so 14740 is abundant (19532 is more than 14740). Euler's totient φ(14740) = 5280 numbers up to 14740 share no factor with it.
- 4
The digits of 14740 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14740 = 2^{2} \times 5 \times 11 \times 67 \]14740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 5280 |
| Square | 217267600 |
| Cube | 3202524424000 |
| Square root | 121.408402 (= 2√3685) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.474 × |
14740 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and forty |
| Binary (base 2) | 11100110010100 |
| Octal (base 8) | 34624 |
| Hexadecimal (base 16) | 3994 |
| Base 3 | 202012221 |
| As time | 14740 seconds = 4 h 5 min 40 s |
Is 14740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14740 ÷ 2 = 7370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14740 ÷ 4 = 3685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14740 ÷ 5 = 2948) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14740 ÷ 10 = 1474) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (14740 ÷ 11 = 1340) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14740 a prime number?
No. 14740 = × 5 × 11 × 67, so it is divisible by 2.
What are the factors of 14740?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 67, 110, 134, 220, 268, 335, 670, 737, 1340, 1474, 2948, 3685, 7370, 14740.
What is 14740 in binary?
11100110010100 (hexadecimal 3994, octal 34624).
What is the square root of 14740?
About 121.4084, exactly 2√3685.
Is 14740 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 14740?
14740 is a happy number: repeatedly adding the squares of its digits reaches 1.