The number 84126
84126 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 2003. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 2003, 4006, 6009, 12018, 14021, 28042, 42063, 84126.
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How to work it out
- 1
What is special about 84126: a Harshad number: divisible by its digit sum 21.
- 2
84126 is composite. Its prime factorisation is
- 3
The divisors add up to 192384; without 84126 itself that is 108258, so 84126 is abundant (108258 is more than 84126). Euler's totient φ(84126) = 24024 numbers up to 84126 share no factor with it.
- 4
The digits of 84126 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84126 = 2 \times 3 \times 7 \times 2003 \]
84126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 192384 |
| Euler totient φ(n) | 24024 |
| Square | 7077183876 |
| Cube | 595375170752376 |
| Square root | 290.044824 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.4126 × |
84126 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand one hundred and twenty-six |
| Binary (base 2) | 10100100010011110 |
| Octal (base 8) | 244236 |
| Hexadecimal (base 16) | 1489E |
| Base 3 | 11021101210 |
| As time | 84126 seconds = 23 h 22 min 6 s |
Is 84126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84126 ÷ 2 = 42063) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84126 ÷ 3 = 28042) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (84126 ÷ 6 = 14021) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (84126 ÷ 7 = 12018) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84126 a prime number?
No. 84126 = 2 × 3 × 7 × 2003, so it is divisible by 2.
What are the factors of 84126?
1, 2, 3, 6, 7, 14, 21, 42, 2003, 4006, 6009, 12018, 14021, 28042, 42063, 84126.
What is 84126 in binary?
10100100010011110 (hexadecimal 1489E, octal 244236).
What is the square root of 84126?
About 290.0448.
Is 84126 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84126?
84126 is a Harshad number: divisible by its digit sum 21.