The number 76104
76104 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 151. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 76104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76104: a Harshad number: divisible by its digit sum 18.
- 2
76104 is composite. Its prime factorisation is
- 3
The divisors add up to 237120; without 76104 itself that is 161016, so 76104 is abundant (161016 is more than 76104). Euler's totient φ(76104) = 21600 numbers up to 76104 share no factor with it.
- 4
The digits of 76104 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76104 = 2^{3} \times 3^{2} \times 7 \times 151 \]76104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 237120 |
| Euler totient φ(n) | 21600 |
| Square | 5791818816 |
| Cube | 440780579172864 |
| Square root | 275.869534 (= 6√2114) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6104 × |
76104 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and four |
| Binary (base 2) | 10010100101001000 |
| Octal (base 8) | 224510 |
| Hexadecimal (base 16) | 12948 |
| Base 3 | 10212101200 |
| As time | 76104 seconds = 21 h 8 min 24 s |
Is 76104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76104 ÷ 2 = 38052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76104 ÷ 3 = 25368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76104 ÷ 4 = 19026) | 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 (76104 ÷ 6 = 12684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76104 ÷ 7 = 10872) | 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 (76104 ÷ 8 = 9513) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76104 ÷ 9 = 8456) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76104 ÷ 12 = 6342) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76104 a prime number?
No. 76104 = × × 7 × 151, so it is divisible by 2.
What are the factors of 76104?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 151, 168, 252, 302, 453, 504, 604, 906, 1057, 1208, 1359, 1812, 2114, 2718, 3171, 3624, 4228, 5436, 6342, 8456, 9513, 10872, 12684, 19026, 25368, 38052, 76104.
What is 76104 in binary?
10010100101001000 (hexadecimal 12948, octal 224510).
What is the square root of 76104?
About 275.8695, exactly 6√2114.
Is 76104 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 76104?
76104 is a Harshad number: divisible by its digit sum 18.