The number 73425
73425 is a composite number with 24 divisors. Its prime factorisation is 3 × × 11 × 89. Divisors (24): 1, 3, 5, 11, 15, 25, 33, 55, 75, 89, 165, 267, 275, 445, 825, 979 … 73425.
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How to work it out
- 1
What is special about 73425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73425 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 73425 itself that is 60495, so 73425 is deficient (60495 is less than 73425). Euler's totient φ(73425) = 35200 numbers up to 73425 share no factor with it.
- 4
The digits of 73425 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73425 = 3 \times 5^{2} \times 11 \times 89 \]73425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 35200 |
| Square | 5391230625 |
| Cube | 395851108640625 |
| Square root | 270.970478 (= 5√2937) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3425 × |
73425 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and twenty-five |
| Binary (base 2) | 10001111011010001 |
| Octal (base 8) | 217321 |
| Hexadecimal (base 16) | 11ED1 |
| Base 3 | 10201201110 |
| As time | 73425 seconds = 20 h 23 min 45 s |
Is 73425 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 (73425 ÷ 3 = 24475) | 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 (73425 ÷ 5 = 14685) | 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 2) | 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 3) | 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 | Yes (73425 ÷ 11 = 6675) | 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 73425 a prime number?
No. 73425 = 3 × × 11 × 89, so it is divisible by 3.
What are the factors of 73425?
1, 3, 5, 11, 15, 25, 33, 55, 75, 89, 165, 267, 275, 445, 825, 979, 1335, 2225, 2937, 4895, 6675, 14685, 24475, 73425.
What is 73425 in binary?
10001111011010001 (hexadecimal 11ED1, octal 217321).
What is the square root of 73425?
About 270.9705, exactly 5√2937.
Is 73425 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73425?
73425 is a happy number: repeatedly adding the squares of its digits reaches 1.