The number 40972
40972 is a composite number with 6 divisors. Its prime factorisation is × 10243. Divisors (6): 1, 2, 4, 10243, 20486, 40972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40972 is composite. Its prime factorisation is
- 3
The divisors add up to 71708; without 40972 itself that is 30736, so 40972 is deficient (30736 is less than 40972). Euler's totient φ(40972) = 20484 numbers up to 40972 share no factor with it.
- 4
The digits of 40972 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40972 = 2^{2} \times 10243 \]40972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 71708 |
| Euler totient φ(n) | 20484 |
| Square | 1678704784 |
| Cube | 68779892410048 |
| Square root | 202.415414 (= 2√10243) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0972 × |
40972 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and seventy-two |
| Binary (base 2) | 1010000000001100 |
| Octal (base 8) | 120014 |
| Hexadecimal (base 16) | A00C |
| Base 3 | 2002012111 |
| As time | 40972 seconds = 11 h 22 min 52 s |
Is 40972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40972 ÷ 2 = 20486) | 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 (40972 ÷ 4 = 10243) | 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 1) | 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 4) | 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 8) | 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 40972 a prime number?
No. 40972 = × 10243, so it is divisible by 2.
What are the factors of 40972?
1, 2, 4, 10243, 20486, 40972.
What is 40972 in binary?
1010000000001100 (hexadecimal A00C, octal 120014).
What is the square root of 40972?
About 202.4154, exactly 2√10243.
Is 40972 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 40972?
It is a composite number with 6 divisors.