The number 16472
16472 is a composite number with 16 divisors. Its prime factorisation is × 29 × 71. Divisors (16): 1, 2, 4, 8, 29, 58, 71, 116, 142, 232, 284, 568, 2059, 4118, 8236, 16472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16472 is composite. Its prime factorisation is
- 3
The divisors add up to 32400; without 16472 itself that is 15928, so 16472 is deficient (15928 is less than 16472). Euler's totient φ(16472) = 7840 numbers up to 16472 share no factor with it.
- 4
The digits of 16472 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16472 = 2^{3} \times 29 \times 71 \]16472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32400 |
| Euler totient φ(n) | 7840 |
| Square | 271326784 |
| Cube | 4469294786048 |
| Square root | 128.343290 (= 2√4118) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6472 × |
16472 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and seventy-two |
| Binary (base 2) | 100000001011000 |
| Octal (base 8) | 40130 |
| Hexadecimal (base 16) | 4058 |
| Base 3 | 211121002 |
| As time | 16472 seconds = 4 h 34 min 32 s |
Is 16472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16472 ÷ 2 = 8236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16472 ÷ 4 = 4118) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (16472 ÷ 8 = 2059) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16472 a prime number?
No. 16472 = × 29 × 71, so it is divisible by 2.
What are the factors of 16472?
1, 2, 4, 8, 29, 58, 71, 116, 142, 232, 284, 568, 2059, 4118, 8236, 16472.
What is 16472 in binary?
100000001011000 (hexadecimal 4058, octal 40130).
What is the square root of 16472?
About 128.3433, exactly 2√4118.
Is 16472 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16472?
It is a composite number with 16 divisors.