The number 40372
40372 is a composite number with 6 divisors. Its prime factorisation is × 10093. Divisors (6): 1, 2, 4, 10093, 20186, 40372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40372 is composite. Its prime factorisation is
- 3
The divisors add up to 70658; without 40372 itself that is 30286, so 40372 is deficient (30286 is less than 40372). Euler's totient φ(40372) = 20184 numbers up to 40372 share no factor with it.
- 4
The digits of 40372 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40372 = 2^{2} \times 10093 \]40372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 70658 |
| Euler totient φ(n) | 20184 |
| Square | 1629898384 |
| Cube | 65802257558848 |
| Square root | 200.927848 (= 2√10093) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0372 × |
40372 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and seventy-two |
| Binary (base 2) | 1001110110110100 |
| Octal (base 8) | 116664 |
| Hexadecimal (base 16) | 9DB4 |
| Base 3 | 2001101021 |
| As time | 40372 seconds = 11 h 12 min 52 s |
Is 40372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40372 ÷ 2 = 20186) | 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 (40372 ÷ 4 = 10093) | 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 3) | 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 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 2) | 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 40372 a prime number?
No. 40372 = × 10093, so it is divisible by 2.
What are the factors of 40372?
1, 2, 4, 10093, 20186, 40372.
What is 40372 in binary?
1001110110110100 (hexadecimal 9DB4, octal 116664).
What is the square root of 40372?
About 200.9278, exactly 2√10093.
Is 40372 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40372?
It is a composite number with 6 divisors.