The number 77448
77448 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 461. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 77448.
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How to work it out
- 1
77448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77448 is composite. Its prime factorisation is
- 3
The divisors add up to 221760; without 77448 itself that is 144312, so 77448 is abundant (144312 is more than 77448). Euler's totient φ(77448) = 22080 numbers up to 77448 share no factor with it.
- 4
The digits of 77448 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77448 = 2^{3} \times 3 \times 7 \times 461 \]77448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 221760 |
| Euler totient φ(n) | 22080 |
| Square | 5998192704 |
| Cube | 464548028539392 |
| Square root | 278.294808 (= 2√19362) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7448 × |
77448 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and forty-eight |
| Binary (base 2) | 10010111010001000 |
| Octal (base 8) | 227210 |
| Hexadecimal (base 16) | 12E88 |
| Base 3 | 10221020110 |
| As time | 77448 seconds = 21 h 30 min 48 s |
Is 77448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77448 ÷ 2 = 38724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77448 ÷ 3 = 25816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77448 ÷ 4 = 19362) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77448 ÷ 6 = 12908) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77448 ÷ 7 = 11064) | 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 (77448 ÷ 8 = 9681) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77448 ÷ 12 = 6454) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77448 a prime number?
No. 77448 = × 3 × 7 × 461, so it is divisible by 2.
What are the factors of 77448?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 461, 922, 1383, 1844, 2766, 3227, 3688, 5532, 6454, 9681, 11064, 12908, 19362, 25816, 38724, 77448.
What is 77448 in binary?
10010111010001000 (hexadecimal 12E88, octal 227210).
What is the square root of 77448?
About 278.2948, exactly 2√19362.
Is 77448 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77448?
It is a composite number with 32 divisors.