The number 41340
41340 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 13 × 53. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 53 … 41340.
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How to work it out
- 1
What is special about 41340: a Harshad number: divisible by its digit sum 12.
- 2
41340 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 41340 itself that is 85668, so 41340 is abundant (85668 is more than 41340). Euler's totient φ(41340) = 9984 numbers up to 41340 share no factor with it.
- 4
The digits of 41340 add up to 12, 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
\[ 41340 = 2^{2} \times 3 \times 5 \times 13 \times 53 \]41340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 9984 |
| Square | 1708995600 |
| Cube | 70649878104000 |
| Square root | 203.322404 (= 2√10335) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.134 × |
41340 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and forty |
| Binary (base 2) | 1010000101111100 |
| Octal (base 8) | 120574 |
| Hexadecimal (base 16) | A17C |
| Base 3 | 2002201010 |
| As time | 41340 seconds = 11 h 29 min 0 s |
Is 41340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41340 ÷ 2 = 20670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41340 ÷ 3 = 13780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41340 ÷ 4 = 10335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41340 ÷ 5 = 8268) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41340 ÷ 6 = 6890) | 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 | No (remainder 4) | 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 | Yes (41340 ÷ 10 = 4134) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41340 ÷ 12 = 3445) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41340 a prime number?
No. 41340 = × 3 × 5 × 13 × 53, so it is divisible by 2.
What are the factors of 41340?
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 53, 60, 65, 78, 106, 130, 156, 159, 195, 212, 260, 265, 318, 390, 530, 636, 689, 780, 795, 1060, 1378, 1590, 2067, 2756, 3180, 3445, 4134, 6890, 8268, 10335, 13780, 20670, 41340.
What is 41340 in binary?
1010000101111100 (hexadecimal A17C, octal 120574).
What is the square root of 41340?
About 203.3224, exactly 2√10335.
Is 41340 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 41340?
41340 is a Harshad number: divisible by its digit sum 12.