The number 43660
43660 is a triangular number: 1 + 2 + … + 295 = 43660. Its prime factorisation is × 5 × 37 × 59. Divisors (24): 1, 2, 4, 5, 10, 20, 37, 59, 74, 118, 148, 185, 236, 295, 370, 590 … 43660.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43660: a triangular number: 1 + 2 + … + 295 = 43660; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43660 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 43660 itself that is 52100, so 43660 is abundant (52100 is more than 43660). Euler's totient φ(43660) = 16704 numbers up to 43660 share no factor with it.
- 4
The digits of 43660 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43660 = 2^{2} \times 5 \times 37 \times 59 \]43660 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 16704 |
| Square | 1906195600 |
| Cube | 83224499896000 |
| Square root | 208.949755 (= 2√10915) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.366 × |
43660 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and sixty |
| Binary (base 2) | 1010101010001100 |
| Octal (base 8) | 125214 |
| Hexadecimal (base 16) | AA8C |
| Base 3 | 2012220001 |
| As time | 43660 seconds = 12 h 7 min 40 s |
Is 43660 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43660 ÷ 2 = 21830) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43660 ÷ 4 = 10915) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43660 ÷ 5 = 8732) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43660 ÷ 10 = 4366) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43660 a prime number?
No. 43660 = × 5 × 37 × 59, so it is divisible by 2.
What are the factors of 43660?
1, 2, 4, 5, 10, 20, 37, 59, 74, 118, 148, 185, 236, 295, 370, 590, 740, 1180, 2183, 4366, 8732, 10915, 21830, 43660.
What is 43660 in binary?
1010101010001100 (hexadecimal AA8C, octal 125214).
What is the square root of 43660?
About 208.9498, exactly 2√10915.
Is 43660 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43660?
43660 is a triangular number: 1 + 2 + … + 295 = 43660; a happy number: repeatedly adding the squares of its digits reaches 1.