The number 40170
40170 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 103. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195 … 40170.
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How to work it out
- 1
40170 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40170 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 40170 itself that is 64662, so 40170 is abundant (64662 is more than 40170). Euler's totient φ(40170) = 9792 numbers up to 40170 share no factor with it.
- 4
The digits of 40170 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40170 = 2 \times 3 \times 5 \times 13 \times 103 \]
40170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 9792 |
| Square | 1613628900 |
| Cube | 64819472913000 |
| Square root | 200.424549 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.017 × |
40170 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and seventy |
| Binary (base 2) | 1001110011101010 |
| Octal (base 8) | 116352 |
| Hexadecimal (base 16) | 9CEA |
| Base 3 | 2001002210 |
| As time | 40170 seconds = 11 h 9 min 30 s |
Is 40170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40170 ÷ 2 = 20085) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40170 ÷ 3 = 13390) | 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 | Yes (40170 ÷ 5 = 8034) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40170 ÷ 6 = 6695) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40170 ÷ 10 = 4017) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40170 a prime number?
No. 40170 = 2 × 3 × 5 × 13 × 103, so it is divisible by 2.
What are the factors of 40170?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195, 206, 309, 390, 515, 618, 1030, 1339, 1545, 2678, 3090, 4017, 6695, 8034, 13390, 20085, 40170.
What is 40170 in binary?
1001110011101010 (hexadecimal 9CEA, octal 116352).
What is the square root of 40170?
About 200.4245.
Is 40170 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40170?
It is a composite number with 32 divisors.