The number 40971
40971 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1951. Divisors (8): 1, 3, 7, 21, 1951, 5853, 13657, 40971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40971: a Harshad number: divisible by its digit sum 21.
- 2
40971 is composite. Its prime factorisation is
- 3
The divisors add up to 62464; without 40971 itself that is 21493, so 40971 is deficient (21493 is less than 40971). Euler's totient φ(40971) = 23400 numbers up to 40971 share no factor with it.
- 4
The digits of 40971 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40971 = 3 \times 7 \times 1951 \]
40971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62464 |
| Euler totient φ(n) | 23400 |
| Square | 1678622841 |
| Cube | 68774856418611 |
| Square root | 202.412944 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0971 × |
40971 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and seventy-one |
| Binary (base 2) | 1010000000001011 |
| Octal (base 8) | 120013 |
| Hexadecimal (base 16) | A00B |
| Base 3 | 2002012110 |
| As time | 40971 seconds = 11 h 22 min 51 s |
Is 40971 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 | Yes (40971 ÷ 3 = 13657) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40971 ÷ 7 = 5853) | 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 3) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40971 a prime number?
No. 40971 = 3 × 7 × 1951, so it is divisible by 3.
What are the factors of 40971?
1, 3, 7, 21, 1951, 5853, 13657, 40971.
What is 40971 in binary?
1010000000001011 (hexadecimal A00B, octal 120013).
What is the square root of 40971?
About 202.4129.
Is 40971 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40971?
40971 is a Harshad number: divisible by its digit sum 21.