The number 16461
16461 is a palindrome: it reads 16461 backwards too. Its prime factorisation is × 31 × 59. Divisors (12): 1, 3, 9, 31, 59, 93, 177, 279, 531, 1829, 5487, 16461.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16461: a palindrome: it reads 16461 backwards too.
- 2
16461 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 16461 itself that is 8499, so 16461 is deficient (8499 is less than 16461). Euler's totient φ(16461) = 10440 numbers up to 16461 share no factor with it.
- 4
The digits of 16461 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16461 = 3^{2} \times 31 \times 59 \]16461 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 10440 |
| Square | 270964521 |
| Cube | 4460346980181 |
| Square root | 128.300429 (= 3√1829) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6461 × |
16461 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and sixty-one |
| Binary (base 2) | 100000001001101 |
| Octal (base 8) | 40115 |
| Hexadecimal (base 16) | 404D |
| Base 3 | 211120200 |
| As time | 16461 seconds = 4 h 34 min 21 s |
Is 16461 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 (16461 ÷ 3 = 5487) | 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 1) | 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 | No (remainder 4) | 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 (16461 ÷ 9 = 1829) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 16461 a prime number?
No. 16461 = × 31 × 59, so it is divisible by 3.
What are the factors of 16461?
1, 3, 9, 31, 59, 93, 177, 279, 531, 1829, 5487, 16461.
What is 16461 in binary?
100000001001101 (hexadecimal 404D, octal 40115).
What is the square root of 16461?
About 128.3004, exactly 3√1829.
Is 16461 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16461?
16461 is a palindrome: it reads 16461 backwards too.