The number 16471
16471 is a triangular number: 1 + 2 + … + 181 = 16471. Its prime factorisation is 7 × 13 × 181. Divisors (8): 1, 7, 13, 91, 181, 1267, 2353, 16471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16471: a triangular number: 1 + 2 + … + 181 = 16471; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16471 is composite. Its prime factorisation is
- 3
The divisors add up to 20384; without 16471 itself that is 3913, so 16471 is deficient (3913 is less than 16471). Euler's totient φ(16471) = 12960 numbers up to 16471 share no factor with it.
- 4
The digits of 16471 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16471 = 7 \times 13 \times 181 \]
16471 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20384 |
| Euler totient φ(n) | 12960 |
| Square | 271293841 |
| Cube | 4468480855111 |
| Square root | 128.339394 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6471 × |
16471 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and seventy-one |
| Binary (base 2) | 100000001010111 |
| Octal (base 8) | 40127 |
| Hexadecimal (base 16) | 4057 |
| Base 3 | 211121001 |
| As time | 16471 seconds = 4 h 34 min 31 s |
Is 16471 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16471 ÷ 7 = 2353) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16471 a prime number?
No. 16471 = 7 × 13 × 181, so it is divisible by 7.
What are the factors of 16471?
1, 7, 13, 91, 181, 1267, 2353, 16471.
What is 16471 in binary?
100000001010111 (hexadecimal 4057, octal 40127).
What is the square root of 16471?
About 128.3394.
Is 16471 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16471?
16471 is a triangular number: 1 + 2 + … + 181 = 16471; a happy number: repeatedly adding the squares of its digits reaches 1.