The number 84007
84007 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 1091. Divisors (8): 1, 7, 11, 77, 1091, 7637, 12001, 84007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84007: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84007 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 84007 itself that is 20825, so 84007 is deficient (20825 is less than 84007). Euler's totient φ(84007) = 65400 numbers up to 84007 share no factor with it.
- 4
The digits of 84007 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 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84007 = 7 \times 11 \times 1091 \]
84007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 65400 |
| Square | 7057176049 |
| Cube | 592852188348343 |
| Square root | 289.839611 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.4007 × |
84007 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and seven |
| Binary (base 2) | 10100100000100111 |
| Octal (base 8) | 244047 |
| Hexadecimal (base 16) | 14827 |
| Base 3 | 11021020101 |
| As time | 84007 seconds = 23 h 20 min 7 s |
Is 84007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (84007 ÷ 7 = 12001) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (84007 ÷ 11 = 7637) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84007 a prime number?
No. 84007 = 7 × 11 × 1091, so it is divisible by 7.
What are the factors of 84007?
1, 7, 11, 77, 1091, 7637, 12001, 84007.
What is 84007 in binary?
10100100000100111 (hexadecimal 14827, octal 244047).
What is the square root of 84007?
About 289.8396.
Is 84007 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 84007?
84007 is a happy number: repeatedly adding the squares of its digits reaches 1.