The number 28413
28413 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 41. Divisors (24): 1, 3, 7, 9, 11, 21, 33, 41, 63, 77, 99, 123, 231, 287, 369, 451 … 28413.
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How to work it out
- 1
What is special about 28413: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28413 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 28413 itself that is 24003, so 28413 is deficient (24003 is less than 28413). Euler's totient φ(28413) = 14400 numbers up to 28413 share no factor with it.
- 4
The digits of 28413 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28413 = 3^{2} \times 7 \times 11 \times 41 \]28413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 14400 |
| Square | 807298569 |
| Cube | 22937774240997 |
| Square root | 168.561561 (= 3√3157) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8413 × |
28413 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and thirteen |
| Binary (base 2) | 110111011111101 |
| Octal (base 8) | 67375 |
| Hexadecimal (base 16) | 6EFD |
| Base 3 | 1102222100 |
| As time | 28413 seconds = 7 h 53 min 33 s |
Is 28413 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28413 ÷ 3 = 9471) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28413 ÷ 7 = 4059) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (28413 ÷ 9 = 3157) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (28413 ÷ 11 = 2583) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28413 a prime number?
No. 28413 = × 7 × 11 × 41, so it is divisible by 3.
What are the factors of 28413?
1, 3, 7, 9, 11, 21, 33, 41, 63, 77, 99, 123, 231, 287, 369, 451, 693, 861, 1353, 2583, 3157, 4059, 9471, 28413.
What is 28413 in binary?
110111011111101 (hexadecimal 6EFD, octal 67375).
What is the square root of 28413?
About 168.5616, exactly 3√3157.
Is 28413 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 28413?
28413 is a happy number: repeatedly adding the squares of its digits reaches 1.