The number 79984
79984 is a composite number with 10 divisors. Its prime factorisation is × 4999. Divisors (10): 1, 2, 4, 8, 16, 4999, 9998, 19996, 39992, 79984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 79984: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
79984 is composite. Its prime factorisation is
- 3
The divisors add up to 155000; without 79984 itself that is 75016, so 79984 is deficient (75016 is less than 79984). Euler's totient φ(79984) = 39984 numbers up to 79984 share no factor with it.
- 4
The digits of 79984 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79984 = 2^{4} \times 4999 \]79984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 155000 |
| Euler totient φ(n) | 39984 |
| Square | 6397440256 |
| Cube | 511692861435904 |
| Square root | 282.814427 (= 4√4999) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.9984 × |
79984 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand nine hundred and eighty-four |
| Binary (base 2) | 10011100001110000 |
| Octal (base 8) | 234160 |
| Hexadecimal (base 16) | 13870 |
| Base 3 | 11001201101 |
| As time | 79984 seconds = 22 h 13 min 4 s |
Is 79984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79984 ÷ 2 = 39992) | 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 (79984 ÷ 4 = 19996) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (79984 ÷ 8 = 9998) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79984 a prime number?
No. 79984 = × 4999, so it is divisible by 2.
What are the factors of 79984?
1, 2, 4, 8, 16, 4999, 9998, 19996, 39992, 79984.
What is 79984 in binary?
10011100001110000 (hexadecimal 13870, octal 234160).
What is the square root of 79984?
About 282.8144, exactly 4√4999.
Is 79984 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 79984?
79984 is a happy number: repeatedly adding the squares of its digits reaches 1.