The number 42602
42602 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 179. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 179, 238, 358, 1253, 2506, 3043, 6086, 21301, 42602.
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How to work it out
- 1
What is special about 42602: a Harshad number: divisible by its digit sum 14.
- 2
42602 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 42602 itself that is 35158, so 42602 is deficient (35158 is less than 42602). Euler's totient φ(42602) = 17088 numbers up to 42602 share no factor with it.
- 4
The digits of 42602 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42602 = 2 \times 7 \times 17 \times 179 \]
42602 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 17088 |
| Square | 1814930404 |
| Cube | 77319665071208 |
| Square root | 206.402519 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2602 × |
42602 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and two |
| Binary (base 2) | 1010011001101010 |
| Octal (base 8) | 123152 |
| Hexadecimal (base 16) | A66A |
| Base 3 | 2011102212 |
| As time | 42602 seconds = 11 h 50 min 2 s |
Is 42602 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42602 ÷ 2 = 21301) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42602 ÷ 7 = 6086) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42602 a prime number?
No. 42602 = 2 × 7 × 17 × 179, so it is divisible by 2.
What are the factors of 42602?
1, 2, 7, 14, 17, 34, 119, 179, 238, 358, 1253, 2506, 3043, 6086, 21301, 42602.
What is 42602 in binary?
1010011001101010 (hexadecimal A66A, octal 123152).
What is the square root of 42602?
About 206.4025.
Is 42602 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42602?
42602 is a Harshad number: divisible by its digit sum 14.