The number 40888
40888 is a composite number with 16 divisors. Its prime factorisation is × 19 × 269. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 269, 538, 1076, 2152, 5111, 10222, 20444, 40888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40888: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40888 is composite. Its prime factorisation is
- 3
The divisors add up to 81000; without 40888 itself that is 40112, so 40888 is deficient (40112 is less than 40888). Euler's totient φ(40888) = 19296 numbers up to 40888 share no factor with it.
- 4
The digits of 40888 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40888 = 2^{3} \times 19 \times 269 \]40888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 81000 |
| Euler totient φ(n) | 19296 |
| Square | 1671828544 |
| Cube | 68357725507072 |
| Square root | 202.207814 (= 2√10222) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0888 × |
40888 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and eighty-eight |
| Binary (base 2) | 1001111110111000 |
| Octal (base 8) | 117670 |
| Hexadecimal (base 16) | 9FB8 |
| Base 3 | 2002002101 |
| As time | 40888 seconds = 11 h 21 min 28 s |
Is 40888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40888 ÷ 2 = 20444) | 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 | Yes (40888 ÷ 4 = 10222) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 | Yes (40888 ÷ 8 = 5111) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40888 a prime number?
No. 40888 = × 19 × 269, so it is divisible by 2.
What are the factors of 40888?
1, 2, 4, 8, 19, 38, 76, 152, 269, 538, 1076, 2152, 5111, 10222, 20444, 40888.
What is 40888 in binary?
1001111110111000 (hexadecimal 9FB8, octal 117670).
What is the square root of 40888?
About 202.2078, exactly 2√10222.
Is 40888 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 40888?
40888 is a happy number: repeatedly adding the squares of its digits reaches 1.