The number 40172
40172 is a composite number with 18 divisors. Its prime factorisation is × × 83. Divisors (18): 1, 2, 4, 11, 22, 44, 83, 121, 166, 242, 332, 484, 913, 1826, 3652, 10043 … 40172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40172 is composite. Its prime factorisation is
- 3
The divisors add up to 78204; without 40172 itself that is 38032, so 40172 is deficient (38032 is less than 40172). Euler's totient φ(40172) = 18040 numbers up to 40172 share no factor with it.
- 4
The digits of 40172 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40172 = 2^{2} \times 11^{2} \times 83 \]40172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 78204 |
| Euler totient φ(n) | 18040 |
| Square | 1613789584 |
| Cube | 64829155168448 |
| Square root | 200.429539 (= 22√83) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0172 × |
40172 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and seventy-two |
| Binary (base 2) | 1001110011101100 |
| Octal (base 8) | 116354 |
| Hexadecimal (base 16) | 9CEC |
| Base 3 | 2001002212 |
| As time | 40172 seconds = 11 h 9 min 32 s |
Is 40172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40172 ÷ 2 = 20086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40172 ÷ 4 = 10043) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (40172 ÷ 11 = 3652) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40172 a prime number?
No. 40172 = × × 83, so it is divisible by 2.
What are the factors of 40172?
1, 2, 4, 11, 22, 44, 83, 121, 166, 242, 332, 484, 913, 1826, 3652, 10043, 20086, 40172.
What is 40172 in binary?
1001110011101100 (hexadecimal 9CEC, octal 116354).
What is the square root of 40172?
About 200.4295, exactly 22√83.
Is 40172 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40172?
40172 is a happy number: repeatedly adding the squares of its digits reaches 1.