The number 80144
80144 is a composite number with 10 divisors. Its prime factorisation is × 5009. Divisors (10): 1, 2, 4, 8, 16, 5009, 10018, 20036, 40072, 80144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80144: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80144 is composite. Its prime factorisation is
- 3
The divisors add up to 155310; without 80144 itself that is 75166, so 80144 is deficient (75166 is less than 80144). Euler's totient φ(80144) = 40064 numbers up to 80144 share no factor with it.
- 4
The digits of 80144 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80144 = 2^{4} \times 5009 \]80144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 155310 |
| Euler totient φ(n) | 40064 |
| Square | 6423060736 |
| Cube | 514769779625984 |
| Square root | 283.097156 (= 4√5009) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0144 × |
80144 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and forty-four |
| Binary (base 2) | 10011100100010000 |
| Octal (base 8) | 234420 |
| Hexadecimal (base 16) | 13910 |
| Base 3 | 11001221022 |
| As time | 80144 seconds = 22 h 15 min 44 s |
Is 80144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80144 ÷ 2 = 40072) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80144 ÷ 4 = 20036) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (80144 ÷ 8 = 10018) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80144 a prime number?
No. 80144 = × 5009, so it is divisible by 2.
What are the factors of 80144?
1, 2, 4, 8, 16, 5009, 10018, 20036, 40072, 80144.
What is 80144 in binary?
10011100100010000 (hexadecimal 13910, octal 234420).
What is the square root of 80144?
About 283.0972, exactly 4√5009.
Is 80144 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80144?
80144 is a happy number: repeatedly adding the squares of its digits reaches 1.