The number 42616
42616 is a composite number with 16 divisors. Its prime factorisation is × 7 × 761. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 761, 1522, 3044, 5327, 6088, 10654, 21308, 42616.
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How to work it out
- 1
42616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42616 is composite. Its prime factorisation is
- 3
The divisors add up to 91440; without 42616 itself that is 48824, so 42616 is abundant (48824 is more than 42616). Euler's totient φ(42616) = 18240 numbers up to 42616 share no factor with it.
- 4
The digits of 42616 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42616 = 2^{3} \times 7 \times 761 \]42616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91440 |
| Euler totient φ(n) | 18240 |
| Square | 1816123456 |
| Cube | 77395917200896 |
| Square root | 206.436431 (= 2√10654) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2616 × |
42616 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and sixteen |
| Binary (base 2) | 1010011001111000 |
| Octal (base 8) | 123170 |
| Hexadecimal (base 16) | A678 |
| Base 3 | 2011110101 |
| As time | 42616 seconds = 11 h 50 min 16 s |
Is 42616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42616 ÷ 2 = 21308) | 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 (42616 ÷ 4 = 10654) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (42616 ÷ 7 = 6088) | 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 | Yes (42616 ÷ 8 = 5327) | 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 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42616 a prime number?
No. 42616 = × 7 × 761, so it is divisible by 2.
What are the factors of 42616?
1, 2, 4, 7, 8, 14, 28, 56, 761, 1522, 3044, 5327, 6088, 10654, 21308, 42616.
What is 42616 in binary?
1010011001111000 (hexadecimal A678, octal 123170).
What is the square root of 42616?
About 206.4364, exactly 2√10654.
Is 42616 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42616?
It is a composite number with 16 divisors.