The number 77444
77444 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1019. Divisors (12): 1, 2, 4, 19, 38, 76, 1019, 2038, 4076, 19361, 38722, 77444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77444 is composite. Its prime factorisation is
- 3
The divisors add up to 142800; without 77444 itself that is 65356, so 77444 is deficient (65356 is less than 77444). Euler's totient φ(77444) = 36648 numbers up to 77444 share no factor with it.
- 4
The digits of 77444 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77444 = 2^{2} \times 19 \times 1019 \]77444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142800 |
| Euler totient φ(n) | 36648 |
| Square | 5997573136 |
| Cube | 464476053944384 |
| Square root | 278.287621 (= 2√19361) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7444 × |
77444 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and forty-four |
| Binary (base 2) | 10010111010000100 |
| Octal (base 8) | 227204 |
| Hexadecimal (base 16) | 12E84 |
| Base 3 | 10221020022 |
| As time | 77444 seconds = 21 h 30 min 44 s |
Is 77444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77444 ÷ 2 = 38722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77444 ÷ 4 = 19361) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77444 a prime number?
No. 77444 = × 19 × 1019, so it is divisible by 2.
What are the factors of 77444?
1, 2, 4, 19, 38, 76, 1019, 2038, 4076, 19361, 38722, 77444.
What is 77444 in binary?
10010111010000100 (hexadecimal 12E84, octal 227204).
What is the square root of 77444?
About 278.2876, exactly 2√19361.
Is 77444 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77444?
It is a composite number with 12 divisors.