The number 77973
77973 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 47 × 79. Divisors (16): 1, 3, 7, 21, 47, 79, 141, 237, 329, 553, 987, 1659, 3713, 11139, 25991, 77973.
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How to work it out
- 1
77973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77973 is composite. Its prime factorisation is
- 3
The divisors add up to 122880; without 77973 itself that is 44907, so 77973 is deficient (44907 is less than 77973). Euler's totient φ(77973) = 43056 numbers up to 77973 share no factor with it.
- 4
The digits of 77973 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77973 = 3 \times 7 \times 47 \times 79 \]
77973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122880 |
| Euler totient φ(n) | 43056 |
| Square | 6079788729 |
| Cube | 474059366566317 |
| Square root | 279.236459 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7973 × |
77973 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and seventy-three |
| Binary (base 2) | 10011000010010101 |
| Octal (base 8) | 230225 |
| Hexadecimal (base 16) | 13095 |
| Base 3 | 10221221220 |
| As time | 77973 seconds = 21 h 39 min 33 s |
Is 77973 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 (77973 ÷ 3 = 25991) | 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 3) | 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 (77973 ÷ 7 = 11139) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 77973 a prime number?
No. 77973 = 3 × 7 × 47 × 79, so it is divisible by 3.
What are the factors of 77973?
1, 3, 7, 21, 47, 79, 141, 237, 329, 553, 987, 1659, 3713, 11139, 25991, 77973.
What is 77973 in binary?
10011000010010101 (hexadecimal 13095, octal 230225).
What is the square root of 77973?
About 279.2365.
Is 77973 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77973?
It is a composite number with 16 divisors.