The number 41724
41724 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 61. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 61, 76, 114, 122 … 41724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41724: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
41724 is composite. Its prime factorisation is
- 3
The divisors add up to 112840; without 41724 itself that is 71116, so 41724 is abundant (71116 is more than 41724). Euler's totient φ(41724) = 12960 numbers up to 41724 share no factor with it.
- 4
The digits of 41724 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41724 = 2^{2} \times 3^{2} \times 19 \times 61 \]41724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 112840 |
| Euler totient φ(n) | 12960 |
| Square | 1740892176 |
| Cube | 72636985151424 |
| Square root | 204.264534 (= 6√1159) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1724 × |
41724 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and twenty-four |
| Binary (base 2) | 1010001011111100 |
| Octal (base 8) | 121374 |
| Hexadecimal (base 16) | A2FC |
| Base 3 | 2010020100 |
| As time | 41724 seconds = 11 h 35 min 24 s |
Is 41724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41724 ÷ 2 = 20862) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41724 ÷ 3 = 13908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41724 ÷ 4 = 10431) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41724 ÷ 6 = 6954) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (41724 ÷ 9 = 4636) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (41724 ÷ 12 = 3477) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41724 a prime number?
No. 41724 = × × 19 × 61, so it is divisible by 2.
What are the factors of 41724?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 61, 76, 114, 122, 171, 183, 228, 244, 342, 366, 549, 684, 732, 1098, 1159, 2196, 2318, 3477, 4636, 6954, 10431, 13908, 20862, 41724.
What is 41724 in binary?
1010001011111100 (hexadecimal A2FC, octal 121374).
What is the square root of 41724?
About 204.2645, exactly 6√1159.
Is 41724 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41724?
41724 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.