The number 76446
76446 is a composite number with 24 divisors. Its prime factorisation is 2 × × 31 × 137. Divisors (24): 1, 2, 3, 6, 9, 18, 31, 62, 93, 137, 186, 274, 279, 411, 558, 822 … 76446.
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How to work it out
- 1
76446 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76446 is composite. Its prime factorisation is
- 3
The divisors add up to 172224; without 76446 itself that is 95778, so 76446 is abundant (95778 is more than 76446). Euler's totient φ(76446) = 24480 numbers up to 76446 share no factor with it.
- 4
The digits of 76446 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76446 = 2 \times 3^{2} \times 31 \times 137 \]76446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 172224 |
| Euler totient φ(n) | 24480 |
| Square | 5843990916 |
| Cube | 446749729564536 |
| Square root | 276.488698 (= 3√8494) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6446 × |
76446 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and forty-six |
| Binary (base 2) | 10010101010011110 |
| Octal (base 8) | 225236 |
| Hexadecimal (base 16) | 12A9E |
| Base 3 | 10212212100 |
| As time | 76446 seconds = 21 h 14 min 6 s |
Is 76446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76446 ÷ 2 = 38223) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76446 ÷ 3 = 25482) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76446 ÷ 6 = 12741) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76446 ÷ 9 = 8494) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76446 a prime number?
No. 76446 = 2 × × 31 × 137, so it is divisible by 2.
What are the factors of 76446?
1, 2, 3, 6, 9, 18, 31, 62, 93, 137, 186, 274, 279, 411, 558, 822, 1233, 2466, 4247, 8494, 12741, 25482, 38223, 76446.
What is 76446 in binary?
10010101010011110 (hexadecimal 12A9E, octal 225236).
What is the square root of 76446?
About 276.4887, exactly 3√8494.
Is 76446 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76446?
It is a composite number with 24 divisors.