The number 40527
40527 is a composite number with 16 divisors. Its prime factorisation is × 19 × 79. Divisors (16): 1, 3, 9, 19, 27, 57, 79, 171, 237, 513, 711, 1501, 2133, 4503, 13509, 40527.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40527: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40527 is composite. Its prime factorisation is
- 3
The divisors add up to 64000; without 40527 itself that is 23473, so 40527 is deficient (23473 is less than 40527). Euler's totient φ(40527) = 25272 numbers up to 40527 share no factor with it.
- 4
The digits of 40527 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40527 = 3^{3} \times 19 \times 79 \]40527 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64000 |
| Euler totient φ(n) | 25272 |
| Square | 1642437729 |
| Cube | 66563073843183 |
| Square root | 201.313189 (= 3√4503) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0527 × |
40527 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and twenty-seven |
| Binary (base 2) | 1001111001001111 |
| Octal (base 8) | 117117 |
| Hexadecimal (base 16) | 9E4F |
| Base 3 | 2001121000 |
| As time | 40527 seconds = 11 h 15 min 27 s |
Is 40527 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 (40527 ÷ 3 = 13509) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40527 ÷ 9 = 4503) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40527 a prime number?
No. 40527 = × 19 × 79, so it is divisible by 3.
What are the factors of 40527?
1, 3, 9, 19, 27, 57, 79, 171, 237, 513, 711, 1501, 2133, 4503, 13509, 40527.
What is 40527 in binary?
1001111001001111 (hexadecimal 9E4F, octal 117117).
What is the square root of 40527?
About 201.3132, exactly 3√4503.
Is 40527 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40527?
40527 is a happy number: repeatedly adding the squares of its digits reaches 1.