The number 42609
42609 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2029. Divisors (8): 1, 3, 7, 21, 2029, 6087, 14203, 42609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42609: a Harshad number: divisible by its digit sum 21.
- 2
42609 is composite. Its prime factorisation is
- 3
The divisors add up to 64960; without 42609 itself that is 22351, so 42609 is deficient (22351 is less than 42609). Euler's totient φ(42609) = 24336 numbers up to 42609 share no factor with it.
- 4
The digits of 42609 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42609 = 3 \times 7 \times 2029 \]
42609 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64960 |
| Euler totient φ(n) | 24336 |
| Square | 1815526881 |
| Cube | 77357784872529 |
| Square root | 206.419476 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2609 × |
42609 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and nine |
| Binary (base 2) | 1010011001110001 |
| Octal (base 8) | 123161 |
| Hexadecimal (base 16) | A671 |
| Base 3 | 2011110010 |
| As time | 42609 seconds = 11 h 50 min 9 s |
Is 42609 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42609 ÷ 3 = 14203) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42609 ÷ 7 = 6087) | 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 1) | 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 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42609 a prime number?
No. 42609 = 3 × 7 × 2029, so it is divisible by 3.
What are the factors of 42609?
1, 3, 7, 21, 2029, 6087, 14203, 42609.
What is 42609 in binary?
1010011001110001 (hexadecimal A671, octal 123161).
What is the square root of 42609?
About 206.4195.
Is 42609 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42609?
42609 is a Harshad number: divisible by its digit sum 21.