The number 77441
77441 is a composite number with 16 divisors. Its prime factorisation is 7 × 13 × 23 × 37. Divisors (16): 1, 7, 13, 23, 37, 91, 161, 259, 299, 481, 851, 2093, 3367, 5957, 11063, 77441.
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How to work it out
- 1
What is special about 77441: a Harshad number: divisible by its digit sum 23.
- 2
77441 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 77441 itself that is 24703, so 77441 is deficient (24703 is less than 77441). Euler's totient φ(77441) = 57024 numbers up to 77441 share no factor with it.
- 4
The digits of 77441 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77441 = 7 \times 13 \times 23 \times 37 \]
77441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 57024 |
| Square | 5997108481 |
| Cube | 464422077877121 |
| Square root | 278.282231 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 182 |
| Scientific notation | 7.7441 × |
77441 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and forty-one |
| Binary (base 2) | 10010111010000001 |
| Octal (base 8) | 227201 |
| Hexadecimal (base 16) | 12E81 |
| Base 3 | 10221020012 |
| As time | 77441 seconds = 21 h 30 min 41 s |
Is 77441 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77441 ÷ 7 = 11063) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77441 a prime number?
No. 77441 = 7 × 13 × 23 × 37, so it is divisible by 7.
What are the factors of 77441?
1, 7, 13, 23, 37, 91, 161, 259, 299, 481, 851, 2093, 3367, 5957, 11063, 77441.
What is 77441 in binary?
10010111010000001 (hexadecimal 12E81, octal 227201).
What is the square root of 77441?
About 278.2822.
Is 77441 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77441?
77441 is a Harshad number: divisible by its digit sum 23.