The number 42516
42516 is a composite number with 18 divisors. Its prime factorisation is × × 1181. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1181, 2362, 3543, 4724, 7086, 10629, 14172 … 42516.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42516: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42516 is composite. Its prime factorisation is
- 3
The divisors add up to 107562; without 42516 itself that is 65046, so 42516 is abundant (65046 is more than 42516). Euler's totient φ(42516) = 14160 numbers up to 42516 share no factor with it.
- 4
The digits of 42516 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42516 = 2^{2} \times 3^{2} \times 1181 \]42516 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 107562 |
| Euler totient φ(n) | 14160 |
| Square | 1807610256 |
| Cube | 76852357644096 |
| Square root | 206.194083 (= 6√1181) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2516 × |
42516 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and sixteen |
| Binary (base 2) | 1010011000010100 |
| Octal (base 8) | 123024 |
| Hexadecimal (base 16) | A614 |
| Base 3 | 2011022200 |
| As time | 42516 seconds = 11 h 48 min 36 s |
Is 42516 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42516 ÷ 2 = 21258) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42516 ÷ 3 = 14172) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42516 ÷ 4 = 10629) | 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 | Yes (42516 ÷ 6 = 7086) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (42516 ÷ 9 = 4724) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42516 ÷ 12 = 3543) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42516 a prime number?
No. 42516 = × × 1181, so it is divisible by 2.
What are the factors of 42516?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1181, 2362, 3543, 4724, 7086, 10629, 14172, 21258, 42516.
What is 42516 in binary?
1010011000010100 (hexadecimal A614, octal 123024).
What is the square root of 42516?
About 206.1941, exactly 6√1181.
Is 42516 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42516?
42516 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.