The number 40552
40552 is a composite number with 16 divisors. Its prime factorisation is × 37 × 137. Divisors (16): 1, 2, 4, 8, 37, 74, 137, 148, 274, 296, 548, 1096, 5069, 10138, 20276, 40552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40552 is composite. Its prime factorisation is
- 3
The divisors add up to 78660; without 40552 itself that is 38108, so 40552 is deficient (38108 is less than 40552). Euler's totient φ(40552) = 19584 numbers up to 40552 share no factor with it.
- 4
The digits of 40552 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40552 = 2^{3} \times 37 \times 137 \]40552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78660 |
| Euler totient φ(n) | 19584 |
| Square | 1644464704 |
| Cube | 66686332676608 |
| Square root | 201.375272 (= 2√10138) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0552 × |
40552 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and fifty-two |
| Binary (base 2) | 1001111001101000 |
| Octal (base 8) | 117150 |
| Hexadecimal (base 16) | 9E68 |
| Base 3 | 2001121221 |
| As time | 40552 seconds = 11 h 15 min 52 s |
Is 40552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40552 ÷ 2 = 20276) | 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 (40552 ÷ 4 = 10138) | 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 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 (40552 ÷ 8 = 5069) | 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 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40552 a prime number?
No. 40552 = × 37 × 137, so it is divisible by 2.
What are the factors of 40552?
1, 2, 4, 8, 37, 74, 137, 148, 274, 296, 548, 1096, 5069, 10138, 20276, 40552.
What is 40552 in binary?
1001111001101000 (hexadecimal 9E68, octal 117150).
What is the square root of 40552?
About 201.3753, exactly 2√10138.
Is 40552 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40552?
40552 is a happy number: repeatedly adding the squares of its digits reaches 1.