The number 16425
16425 is a composite number with 18 divisors. Its prime factorisation is × × 73. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 73, 75, 219, 225, 365, 657, 1095, 1825, 3285 … 16425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16425 is composite. Its prime factorisation is
- 3
The divisors add up to 29822; without 16425 itself that is 13397, so 16425 is deficient (13397 is less than 16425). Euler's totient φ(16425) = 8640 numbers up to 16425 share no factor with it.
- 4
The digits of 16425 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16425 = 3^{2} \times 5^{2} \times 73 \]16425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 29822 |
| Euler totient φ(n) | 8640 |
| Square | 269780625 |
| Cube | 4431146765625 |
| Square root | 128.160056 (= 15√73) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6425 × |
16425 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and twenty-five |
| Binary (base 2) | 100000000101001 |
| Octal (base 8) | 40051 |
| Hexadecimal (base 16) | 4029 |
| Base 3 | 211112100 |
| As time | 16425 seconds = 4 h 33 min 45 s |
Is 16425 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 (16425 ÷ 3 = 5475) | 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 | Yes (16425 ÷ 5 = 3285) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16425 ÷ 9 = 1825) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 16425 a prime number?
No. 16425 = × × 73, so it is divisible by 3.
What are the factors of 16425?
1, 3, 5, 9, 15, 25, 45, 73, 75, 219, 225, 365, 657, 1095, 1825, 3285, 5475, 16425.
What is 16425 in binary?
100000000101001 (hexadecimal 4029, octal 40051).
What is the square root of 16425?
About 128.1601, exactly 15√73.
Is 16425 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16425?
16425 is a happy number: repeatedly adding the squares of its digits reaches 1.