The number 41496
41496 is a composite number with 64 divisors. Its prime factorisation is × 3 × 7 × 13 × 19. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 19, 21, 24, 26, 28, 38 … 41496.
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How to work it out
- 1
What is special about 41496: a Harshad number: divisible by its digit sum 24.
- 2
41496 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 41496 itself that is 92904, so 41496 is abundant (92904 is more than 41496). Euler's totient φ(41496) = 10368 numbers up to 41496 share no factor with it.
- 4
The digits of 41496 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41496 = 2^{3} \times 3 \times 7 \times 13 \times 19 \]41496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 10368 |
| Square | 1721918016 |
| Cube | 71452709991936 |
| Square root | 203.705670 (= 2√10374) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.1496 × |
41496 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and ninety-six |
| Binary (base 2) | 1010001000011000 |
| Octal (base 8) | 121030 |
| Hexadecimal (base 16) | A218 |
| Base 3 | 2002220220 |
| As time | 41496 seconds = 11 h 31 min 36 s |
Is 41496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41496 ÷ 2 = 20748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41496 ÷ 3 = 13832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41496 ÷ 4 = 10374) | 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 | Yes (41496 ÷ 6 = 6916) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41496 ÷ 7 = 5928) | 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 (41496 ÷ 8 = 5187) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41496 ÷ 12 = 3458) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41496 a prime number?
No. 41496 = × 3 × 7 × 13 × 19, so it is divisible by 2.
What are the factors of 41496?
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 19, 21, 24, 26, 28, 38, 39, 42, 52, 56, 57, 76, 78, 84, 91, 104, 114, 133, 152, 156, 168, 182, 228, 247, 266, 273, 312, 364, 399, 456, 494, 532, 546, 728, 741, 798, 988, 1064, 1092, 1482, 1596, 1729, 1976, 2184, 2964, 3192, 3458, 5187, 5928, 6916, 10374, 13832, 20748, 41496.
What is 41496 in binary?
1010001000011000 (hexadecimal A218, octal 121030).
What is the square root of 41496?
About 203.7057, exactly 2√10374.
Is 41496 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 41496?
41496 is a Harshad number: divisible by its digit sum 24.