The number 73882
73882 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 41 × 53. Divisors (16): 1, 2, 17, 34, 41, 53, 82, 106, 697, 901, 1394, 1802, 2173, 4346, 36941, 73882.
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How to work it out
- 1
What is special about 73882: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73882 is composite. Its prime factorisation is
- 3
The divisors add up to 122472; without 73882 itself that is 48590, so 73882 is deficient (48590 is less than 73882). Euler's totient φ(73882) = 33280 numbers up to 73882 share no factor with it.
- 4
The digits of 73882 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73882 = 2 \times 17 \times 41 \times 53 \]
73882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122472 |
| Euler totient φ(n) | 33280 |
| Square | 5458549924 |
| Cube | 403288585484968 |
| Square root | 271.812435 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3882 × |
73882 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and eighty-two |
| Binary (base 2) | 10010000010011010 |
| Octal (base 8) | 220232 |
| Hexadecimal (base 16) | 1209A |
| Base 3 | 10202100101 |
| As time | 73882 seconds = 20 h 31 min 22 s |
Is 73882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73882 ÷ 2 = 36941) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73882 a prime number?
No. 73882 = 2 × 17 × 41 × 53, so it is divisible by 2.
What are the factors of 73882?
1, 2, 17, 34, 41, 53, 82, 106, 697, 901, 1394, 1802, 2173, 4346, 36941, 73882.
What is 73882 in binary?
10010000010011010 (hexadecimal 1209A, octal 220232).
What is the square root of 73882?
About 271.8124.
Is 73882 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73882?
73882 is a happy number: repeatedly adding the squares of its digits reaches 1.