The number 40375
40375 is a composite number with 16 divisors. Its prime factorisation is × 17 × 19. Divisors (16): 1, 5, 17, 19, 25, 85, 95, 125, 323, 425, 475, 1615, 2125, 2375, 8075, 40375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40375: a Harshad number: divisible by its digit sum 19.
- 2
40375 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 40375 itself that is 15785, so 40375 is deficient (15785 is less than 40375). Euler's totient φ(40375) = 28800 numbers up to 40375 share no factor with it.
- 4
The digits of 40375 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40375 = 5^{3} \times 17 \times 19 \]40375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 28800 |
| Square | 1630140625 |
| Cube | 65816927734375 |
| Square root | 200.935313 (= 5√1615) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0375 × |
40375 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and seventy-five |
| Binary (base 2) | 1001110110110111 |
| Octal (base 8) | 116667 |
| Hexadecimal (base 16) | 9DB7 |
| Base 3 | 2001101101 |
| As time | 40375 seconds = 11 h 12 min 55 s |
Is 40375 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 | No (remainder 1) | 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 | Yes (40375 ÷ 5 = 8075) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40375 a prime number?
No. 40375 = × 17 × 19, so it is divisible by 5.
What are the factors of 40375?
1, 5, 17, 19, 25, 85, 95, 125, 323, 425, 475, 1615, 2125, 2375, 8075, 40375.
What is 40375 in binary?
1001110110110111 (hexadecimal 9DB7, octal 116667).
What is the square root of 40375?
About 200.9353, exactly 5√1615.
Is 40375 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40375?
40375 is a Harshad number: divisible by its digit sum 19.