The number 37882
37882 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 31 × 47. Divisors (16): 1, 2, 13, 26, 31, 47, 62, 94, 403, 611, 806, 1222, 1457, 2914, 18941, 37882.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37882: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37882 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 37882 itself that is 26630, so 37882 is deficient (26630 is less than 37882). Euler's totient φ(37882) = 16560 numbers up to 37882 share no factor with it.
- 4
The digits of 37882 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37882 = 2 \times 13 \times 31 \times 47 \]
37882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 16560 |
| Square | 1435045924 |
| Cube | 54362409692968 |
| Square root | 194.632988 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7882 × |
37882 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and eighty-two |
| Binary (base 2) | 1001001111111010 |
| Octal (base 8) | 111772 |
| Hexadecimal (base 16) | 93FA |
| Base 3 | 1220222001 |
| As time | 37882 seconds = 10 h 31 min 22 s |
Is 37882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37882 ÷ 2 = 18941) | 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 5) | 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 9) | 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 37882 a prime number?
No. 37882 = 2 × 13 × 31 × 47, so it is divisible by 2.
What are the factors of 37882?
1, 2, 13, 26, 31, 47, 62, 94, 403, 611, 806, 1222, 1457, 2914, 18941, 37882.
What is 37882 in binary?
1001001111111010 (hexadecimal 93FA, octal 111772).
What is the square root of 37882?
About 194.6330.
Is 37882 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37882?
37882 is a happy number: repeatedly adding the squares of its digits reaches 1.