The number 14724
14724 is a composite number with 18 divisors. Its prime factorisation is × × 409. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 409, 818, 1227, 1636, 2454, 3681, 4908 … 14724.
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How to work it out
- 1
What is special about 14724: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
14724 is composite. Its prime factorisation is
- 3
The divisors add up to 37310; without 14724 itself that is 22586, so 14724 is abundant (22586 is more than 14724). Euler's totient φ(14724) = 4896 numbers up to 14724 share no factor with it.
- 4
The digits of 14724 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14724 = 2^{2} \times 3^{2} \times 409 \]14724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 37310 |
| Euler totient φ(n) | 4896 |
| Square | 216796176 |
| Cube | 3192106895424 |
| Square root | 121.342490 (= 6√409) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4724 × |
14724 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and twenty-four |
| Binary (base 2) | 11100110000100 |
| Octal (base 8) | 34604 |
| Hexadecimal (base 16) | 3984 |
| Base 3 | 202012100 |
| As time | 14724 seconds = 4 h 5 min 24 s |
Is 14724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14724 ÷ 2 = 7362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14724 ÷ 3 = 4908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14724 ÷ 4 = 3681) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14724 ÷ 6 = 2454) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (14724 ÷ 9 = 1636) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14724 ÷ 12 = 1227) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14724 a prime number?
No. 14724 = × × 409, so it is divisible by 2.
What are the factors of 14724?
1, 2, 3, 4, 6, 9, 12, 18, 36, 409, 818, 1227, 1636, 2454, 3681, 4908, 7362, 14724.
What is 14724 in binary?
11100110000100 (hexadecimal 3984, octal 34604).
What is the square root of 14724?
About 121.3425, exactly 6√409.
Is 14724 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14724?
14724 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.