The number 77044
77044 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 103. Divisors (24): 1, 2, 4, 11, 17, 22, 34, 44, 68, 103, 187, 206, 374, 412, 748, 1133 … 77044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77044: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.
- 2
77044 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 77044 itself that is 80204, so 77044 is abundant (80204 is more than 77044). Euler's totient φ(77044) = 32640 numbers up to 77044 share no factor with it.
- 4
The digits of 77044 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77044 = 2^{2} \times 11 \times 17 \times 103 \]77044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 32640 |
| Square | 5935777936 |
| Cube | 457316075301184 |
| Square root | 277.568010 (= 2√19261) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7044 × |
77044 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and forty-four |
| Binary (base 2) | 10010110011110100 |
| Octal (base 8) | 226364 |
| Hexadecimal (base 16) | 12CF4 |
| Base 3 | 10220200111 |
| As time | 77044 seconds = 21 h 24 min 4 s |
Is 77044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77044 ÷ 2 = 38522) | 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 (77044 ÷ 4 = 19261) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 | Yes (77044 ÷ 11 = 7004) | 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 77044 a prime number?
No. 77044 = × 11 × 17 × 103, so it is divisible by 2.
What are the factors of 77044?
1, 2, 4, 11, 17, 22, 34, 44, 68, 103, 187, 206, 374, 412, 748, 1133, 1751, 2266, 3502, 4532, 7004, 19261, 38522, 77044.
What is 77044 in binary?
10010110011110100 (hexadecimal 12CF4, octal 226364).
What is the square root of 77044?
About 277.5680, exactly 2√19261.
Is 77044 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77044?
77044 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.