The number 40976
40976 is a composite number with 20 divisors. Its prime factorisation is × 13 × 197. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 197, 208, 394, 788, 1576, 2561, 3152 … 40976.
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How to work it out
- 1
What is special about 40976: a Harshad number: divisible by its digit sum 26.
- 2
40976 is composite. Its prime factorisation is
- 3
The divisors add up to 85932; without 40976 itself that is 44956, so 40976 is abundant (44956 is more than 40976). Euler's totient φ(40976) = 18816 numbers up to 40976 share no factor with it.
- 4
The digits of 40976 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40976 = 2^{4} \times 13 \times 197 \]40976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 85932 |
| Euler totient φ(n) | 18816 |
| Square | 1679032576 |
| Cube | 68800038834176 |
| Square root | 202.425295 (= 4√2561) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.0976 × |
40976 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and seventy-six |
| Binary (base 2) | 1010000000010000 |
| Octal (base 8) | 120020 |
| Hexadecimal (base 16) | A010 |
| Base 3 | 2002012122 |
| As time | 40976 seconds = 11 h 22 min 56 s |
Is 40976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40976 ÷ 2 = 20488) | 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 (40976 ÷ 4 = 10244) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (40976 ÷ 8 = 5122) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 40976 a prime number?
No. 40976 = × 13 × 197, so it is divisible by 2.
What are the factors of 40976?
1, 2, 4, 8, 13, 16, 26, 52, 104, 197, 208, 394, 788, 1576, 2561, 3152, 5122, 10244, 20488, 40976.
What is 40976 in binary?
1010000000010000 (hexadecimal A010, octal 120020).
What is the square root of 40976?
About 202.4253, exactly 4√2561.
Is 40976 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 40976?
40976 is a Harshad number: divisible by its digit sum 26.