The number 76973
76973 is a composite number with 8 divisors. Its prime factorisation is 13 × 31 × 191. Divisors (8): 1, 13, 31, 191, 403, 2483, 5921, 76973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76973 is composite. Its prime factorisation is
- 3
The divisors add up to 86016; without 76973 itself that is 9043, so 76973 is deficient (9043 is less than 76973). Euler's totient φ(76973) = 68400 numbers up to 76973 share no factor with it.
- 4
The digits of 76973 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76973 = 13 \times 31 \times 191 \]
76973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86016 |
| Euler totient φ(n) | 68400 |
| Square | 5924842729 |
| Cube | 456052919379317 |
| Square root | 277.440084 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6973 × |
76973 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and seventy-three |
| Binary (base 2) | 10010110010101101 |
| Octal (base 8) | 226255 |
| Hexadecimal (base 16) | 12CAD |
| Base 3 | 10220120212 |
| As time | 76973 seconds = 21 h 22 min 53 s |
Is 76973 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 3) | 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 | No (remainder 1) | 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 5) | 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 6) | 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 76973 a prime number?
No. 76973 = 13 × 31 × 191, so it is divisible by 13.
What are the factors of 76973?
1, 13, 31, 191, 403, 2483, 5921, 76973.
What is 76973 in binary?
10010110010101101 (hexadecimal 12CAD, octal 226255).
What is the square root of 76973?
About 277.4401.
Is 76973 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 76973?
It is a composite number with 8 divisors.