The number 76672
76672 is a composite number with 16 divisors. Its prime factorisation is × 599. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 599, 1198, 2396, 4792, 9584, 19168, 38336, 76672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76672 is composite. Its prime factorisation is
- 3
The divisors add up to 153000; without 76672 itself that is 76328, so 76672 is deficient (76328 is less than 76672). Euler's totient φ(76672) = 38272 numbers up to 76672 share no factor with it.
- 4
The digits of 76672 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76672 = 2^{7} \times 599 \]76672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153000 |
| Euler totient φ(n) | 38272 |
| Square | 5878595584 |
| Cube | 450723680616448 |
| Square root | 276.897093 (= 8√1198) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.6672 × |
76672 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand six hundred and seventy-two |
| Binary (base 2) | 10010101110000000 |
| Octal (base 8) | 225600 |
| Hexadecimal (base 16) | 12B80 |
| Base 3 | 10220011201 |
| As time | 76672 seconds = 21 h 17 min 52 s |
Is 76672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76672 ÷ 2 = 38336) | 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 (76672 ÷ 4 = 19168) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (76672 ÷ 8 = 9584) | 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 2) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76672 a prime number?
No. 76672 = × 599, so it is divisible by 2.
What are the factors of 76672?
1, 2, 4, 8, 16, 32, 64, 128, 599, 1198, 2396, 4792, 9584, 19168, 38336, 76672.
What is 76672 in binary?
10010101110000000 (hexadecimal 12B80, octal 225600).
What is the square root of 76672?
About 276.8971, exactly 8√1198.
Is 76672 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 76672?
It is a composite number with 16 divisors.