The number 77007
77007 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 193. Divisors (16): 1, 3, 7, 19, 21, 57, 133, 193, 399, 579, 1351, 3667, 4053, 11001, 25669, 77007.
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How to work it out
- 1
What is special about 77007: a Harshad number: divisible by its digit sum 21.
- 2
77007 is composite. Its prime factorisation is
- 3
The divisors add up to 124160; without 77007 itself that is 47153, so 77007 is deficient (47153 is less than 77007). Euler's totient φ(77007) = 41472 numbers up to 77007 share no factor with it.
- 4
The digits of 77007 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77007 = 3 \times 7 \times 19 \times 193 \]
77007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124160 |
| Euler totient φ(n) | 41472 |
| Square | 5930078049 |
| Cube | 456657520319343 |
| Square root | 277.501351 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7007 × |
77007 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and seven |
| Binary (base 2) | 10010110011001111 |
| Octal (base 8) | 226317 |
| Hexadecimal (base 16) | 12CCF |
| Base 3 | 10220122010 |
| As time | 77007 seconds = 21 h 23 min 27 s |
Is 77007 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 (77007 ÷ 3 = 25669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (77007 ÷ 7 = 11001) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77007 a prime number?
No. 77007 = 3 × 7 × 19 × 193, so it is divisible by 3.
What are the factors of 77007?
1, 3, 7, 19, 21, 57, 133, 193, 399, 579, 1351, 3667, 4053, 11001, 25669, 77007.
What is 77007 in binary?
10010110011001111 (hexadecimal 12CCF, octal 226317).
What is the square root of 77007?
About 277.5014.
Is 77007 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77007?
77007 is a Harshad number: divisible by its digit sum 21.