The number 72104
72104 is a composite number with 8 divisors. Its prime factorisation is × 9013. Divisors (8): 1, 2, 4, 8, 9013, 18026, 36052, 72104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72104 is composite. Its prime factorisation is
- 3
The divisors add up to 135210; without 72104 itself that is 63106, so 72104 is deficient (63106 is less than 72104). Euler's totient φ(72104) = 36048 numbers up to 72104 share no factor with it.
- 4
The digits of 72104 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72104 = 2^{3} \times 9013 \]72104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 135210 |
| Euler totient φ(n) | 36048 |
| Square | 5198986816 |
| Cube | 374867745380864 |
| Square root | 268.521880 (= 2√18026) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.2104 × |
72104 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and four |
| Binary (base 2) | 10001100110101000 |
| Octal (base 8) | 214650 |
| Hexadecimal (base 16) | 119A8 |
| Base 3 | 10122220112 |
| As time | 72104 seconds = 20 h 1 min 44 s |
Is 72104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72104 ÷ 2 = 36052) | 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 (72104 ÷ 4 = 18026) | 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 4) | 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 (72104 ÷ 8 = 9013) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | 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 72104 a prime number?
No. 72104 = × 9013, so it is divisible by 2.
What are the factors of 72104?
1, 2, 4, 8, 9013, 18026, 36052, 72104.
What is 72104 in binary?
10001100110101000 (hexadecimal 119A8, octal 214650).
What is the square root of 72104?
About 268.5219, exactly 2√18026.
Is 72104 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72104?
72104 is a happy number: repeatedly adding the squares of its digits reaches 1.