The number 81204
81204 is a composite number with 24 divisors. Its prime factorisation is × 3 × 67 × 101. Divisors (24): 1, 2, 3, 4, 6, 12, 67, 101, 134, 201, 202, 268, 303, 402, 404, 606 … 81204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
81204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
81204 is composite. Its prime factorisation is
- 3
The divisors add up to 194208; without 81204 itself that is 113004, so 81204 is abundant (113004 is more than 81204). Euler's totient φ(81204) = 26400 numbers up to 81204 share no factor with it.
- 4
The digits of 81204 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 81204 = 2^{2} \times 3 \times 67 \times 101 \]81204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 194208 |
| Euler totient φ(n) | 26400 |
| Square | 6594089616 |
| Cube | 535466453177664 |
| Square root | 284.963156 (= 2√20301) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.1204 × |
81204 in other forms
| Form | Value |
|---|---|
| In words | eighty-one thousand two hundred and four |
| Binary (base 2) | 10011110100110100 |
| Octal (base 8) | 236464 |
| Hexadecimal (base 16) | 13D34 |
| Base 3 | 11010101120 |
| As time | 81204 seconds = 22 h 33 min 24 s |
Is 81204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (81204 ÷ 2 = 40602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (81204 ÷ 3 = 27068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (81204 ÷ 4 = 20301) | 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 | Yes (81204 ÷ 6 = 13534) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (81204 ÷ 12 = 6767) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 81204 a prime number?
No. 81204 = × 3 × 67 × 101, so it is divisible by 2.
What are the factors of 81204?
1, 2, 3, 4, 6, 12, 67, 101, 134, 201, 202, 268, 303, 402, 404, 606, 804, 1212, 6767, 13534, 20301, 27068, 40602, 81204.
What is 81204 in binary?
10011110100110100 (hexadecimal 13D34, octal 236464).
What is the square root of 81204?
About 284.9632, exactly 2√20301.
Is 81204 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 81204?
It is a composite number with 24 divisors.