The number 84016
84016 is a composite number with 20 divisors. Its prime factorisation is × 59 × 89. Divisors (20): 1, 2, 4, 8, 16, 59, 89, 118, 178, 236, 356, 472, 712, 944, 1424, 5251 … 84016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84016 is composite. Its prime factorisation is
- 3
The divisors add up to 167400; without 84016 itself that is 83384, so 84016 is deficient (83384 is less than 84016). Euler's totient φ(84016) = 40832 numbers up to 84016 share no factor with it.
- 4
The digits of 84016 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84016 = 2^{4} \times 59 \times 89 \]84016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 167400 |
| Euler totient φ(n) | 40832 |
| Square | 7058688256 |
| Cube | 593042752516096 |
| Square root | 289.855136 (= 4√5251) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.4016 × |
84016 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and sixteen |
| Binary (base 2) | 10100100000110000 |
| Octal (base 8) | 244060 |
| Hexadecimal (base 16) | 14830 |
| Base 3 | 11021020201 |
| As time | 84016 seconds = 23 h 20 min 16 s |
Is 84016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84016 ÷ 2 = 42008) | 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 (84016 ÷ 4 = 21004) | 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 | No (remainder 2) | 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 (84016 ÷ 8 = 10502) | 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 9) | 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 84016 a prime number?
No. 84016 = × 59 × 89, so it is divisible by 2.
What are the factors of 84016?
1, 2, 4, 8, 16, 59, 89, 118, 178, 236, 356, 472, 712, 944, 1424, 5251, 10502, 21004, 42008, 84016.
What is 84016 in binary?
10100100000110000 (hexadecimal 14830, octal 244060).
What is the square root of 84016?
About 289.8551, exactly 4√5251.
Is 84016 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 84016?
It is a composite number with 20 divisors.