The number 14742
14742 is a composite number with 40 divisors. Its prime factorisation is 2 × × 7 × 13. Divisors (40): 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63 … 14742.
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How to work it out
- 1
What is special about 14742: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
14742 is composite. Its prime factorisation is
- 3
The divisors add up to 40656; without 14742 itself that is 25914, so 14742 is abundant (25914 is more than 14742). Euler's totient φ(14742) = 3888 numbers up to 14742 share no factor with it.
- 4
The digits of 14742 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14742 = 2 \times 3^{4} \times 7 \times 13 \]14742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 40656 |
| Euler totient φ(n) | 3888 |
| Square | 217326564 |
| Cube | 3203828206488 |
| Square root | 121.416638 (= 9√182) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.4742 × |
14742 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and forty-two |
| Binary (base 2) | 11100110010110 |
| Octal (base 8) | 34626 |
| Hexadecimal (base 16) | 3996 |
| Base 3 | 202020000 |
| As time | 14742 seconds = 4 h 5 min 42 s |
Is 14742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14742 ÷ 2 = 7371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14742 ÷ 3 = 4914) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14742 ÷ 6 = 2457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14742 ÷ 7 = 2106) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14742 ÷ 9 = 1638) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14742 a prime number?
No. 14742 = 2 × × 7 × 13, so it is divisible by 2.
What are the factors of 14742?
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 81, 91, 117, 126, 162, 182, 189, 234, 273, 351, 378, 546, 567, 702, 819, 1053, 1134, 1638, 2106, 2457, 4914, 7371, 14742.
What is 14742 in binary?
11100110010110 (hexadecimal 3996, octal 34626).
What is the square root of 14742?
About 121.4166, exactly 9√182.
Is 14742 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14742?
14742 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.