The number 84010
84010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 31 × 271. Divisors (16): 1, 2, 5, 10, 31, 62, 155, 271, 310, 542, 1355, 2710, 8401, 16802, 42005, 84010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84010 is composite. Its prime factorisation is
- 3
The divisors add up to 156672; without 84010 itself that is 72662, so 84010 is deficient (72662 is less than 84010). Euler's totient φ(84010) = 32400 numbers up to 84010 share no factor with it.
- 4
The digits of 84010 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84010 = 2 \times 5 \times 31 \times 271 \]
84010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156672 |
| Euler totient φ(n) | 32400 |
| Square | 7057680100 |
| Cube | 592915705201000 |
| Square root | 289.844786 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.401 × |
84010 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and ten |
| Binary (base 2) | 10100100000101010 |
| Octal (base 8) | 244052 |
| Hexadecimal (base 16) | 1482A |
| Base 3 | 11021020111 |
| As time | 84010 seconds = 23 h 20 min 10 s |
Is 84010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84010 ÷ 2 = 42005) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84010 ÷ 5 = 16802) | 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 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (84010 ÷ 10 = 8401) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84010 a prime number?
No. 84010 = 2 × 5 × 31 × 271, so it is divisible by 2.
What are the factors of 84010?
1, 2, 5, 10, 31, 62, 155, 271, 310, 542, 1355, 2710, 8401, 16802, 42005, 84010.
What is 84010 in binary?
10100100000101010 (hexadecimal 1482A, octal 244052).
What is the square root of 84010?
About 289.8448.
Is 84010 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 84010?
It is a composite number with 16 divisors.