The number 77649
77649 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 181. Divisors (16): 1, 3, 11, 13, 33, 39, 143, 181, 429, 543, 1991, 2353, 5973, 7059, 25883, 77649.
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How to work it out
- 1
What is special about 77649: a Harshad number: divisible by its digit sum 33.
- 2
77649 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 77649 itself that is 44655, so 77649 is deficient (44655 is less than 77649). Euler's totient φ(77649) = 43200 numbers up to 77649 share no factor with it.
- 4
The digits of 77649 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77649 = 3 \times 11 \times 13 \times 181 \]
77649 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 43200 |
| Square | 6029367201 |
| Cube | 468174333790449 |
| Square root | 278.655702 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 182 |
| Scientific notation | 7.7649 × |
77649 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and forty-nine |
| Binary (base 2) | 10010111101010001 |
| Octal (base 8) | 227521 |
| Hexadecimal (base 16) | 12F51 |
| Base 3 | 10221111220 |
| As time | 77649 seconds = 21 h 34 min 9 s |
Is 77649 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 | Yes (77649 ÷ 3 = 25883) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77649 ÷ 11 = 7059) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77649 a prime number?
No. 77649 = 3 × 11 × 13 × 181, so it is divisible by 3.
What are the factors of 77649?
1, 3, 11, 13, 33, 39, 143, 181, 429, 543, 1991, 2353, 5973, 7059, 25883, 77649.
What is 77649 in binary?
10010111101010001 (hexadecimal 12F51, octal 227521).
What is the square root of 77649?
About 278.6557.
Is 77649 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77649?
77649 is a Harshad number: divisible by its digit sum 33.