The number 5425
5425 is a composite number with 12 divisors. Its prime factorisation is × 7 × 31. Divisors (12): 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5425 is composite. Its prime factorisation is
- 3
The divisors add up to 7936; without 5425 itself that is 2511, so 5425 is deficient (2511 is less than 5425). Euler's totient φ(5425) = 3600 numbers up to 5425 share no factor with it.
- 4
The digits of 5425 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5425 = 5^{2} \times 7 \times 31 \]5425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7936 |
| Euler totient φ(n) | 3600 |
| Square | 29430625 |
| Cube | 159661140625 |
| Square root | 73.654599 (= 5√217) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.425 × |
5425 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and twenty-five |
| Binary (base 2) | 1010100110001 |
| Octal (base 8) | 12461 |
| Hexadecimal (base 16) | 1531 |
| Base 3 | 21102221 |
| As time | 5425 seconds = 1 h 30 min 25 s |
Is 5425 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5425 ÷ 5 = 1085) | 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 (5425 ÷ 7 = 775) | 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 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5425 a prime number?
No. 5425 = × 7 × 31, so it is divisible by 5.
What are the factors of 5425?
1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425.
What is 5425 in binary?
1010100110001 (hexadecimal 1531, octal 12461).
What is the square root of 5425?
About 73.6546, exactly 5√217.
Is 5425 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5425?
5425 is a happy number: repeatedly adding the squares of its digits reaches 1.