The number 40992
40992 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 61. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 40992.
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How to work it out
- 1
What is special about 40992: a Harshad number: divisible by its digit sum 24.
- 2
40992 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 40992 itself that is 84000, so 40992 is abundant (84000 is more than 40992). Euler's totient φ(40992) = 11520 numbers up to 40992 share no factor with it.
- 4
The digits of 40992 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40992 = 2^{5} \times 3 \times 7 \times 61 \]40992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 11520 |
| Square | 1680344064 |
| Cube | 68880663871488 |
| Square root | 202.464812 (= 4√2562) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.0992 × |
40992 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and ninety-two |
| Binary (base 2) | 1010000000100000 |
| Octal (base 8) | 120040 |
| Hexadecimal (base 16) | A020 |
| Base 3 | 2002020020 |
| As time | 40992 seconds = 11 h 23 min 12 s |
Is 40992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40992 ÷ 2 = 20496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40992 ÷ 3 = 13664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40992 ÷ 4 = 10248) | 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 | Yes (40992 ÷ 6 = 6832) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40992 ÷ 7 = 5856) | 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 (40992 ÷ 8 = 5124) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40992 ÷ 12 = 3416) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40992 a prime number?
No. 40992 = × 3 × 7 × 61, so it is divisible by 2.
What are the factors of 40992?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 61, 84, 96, 112, 122, 168, 183, 224, 244, 336, 366, 427, 488, 672, 732, 854, 976, 1281, 1464, 1708, 1952, 2562, 2928, 3416, 5124, 5856, 6832, 10248, 13664, 20496, 40992.
What is 40992 in binary?
1010000000100000 (hexadecimal A020, octal 120040).
What is the square root of 40992?
About 202.4648, exactly 4√2562.
Is 40992 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 40992?
40992 is a Harshad number: divisible by its digit sum 24.