The number 83973
83973 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 1217. Divisors (8): 1, 3, 23, 69, 1217, 3651, 27991, 83973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83973 is composite. Its prime factorisation is
- 3
The divisors add up to 116928; without 83973 itself that is 32955, so 83973 is deficient (32955 is less than 83973). Euler's totient φ(83973) = 53504 numbers up to 83973 share no factor with it.
- 4
The digits of 83973 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83973 = 3 \times 23 \times 1217 \]
83973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 116928 |
| Euler totient φ(n) | 53504 |
| Square | 7051464729 |
| Cube | 592132647688317 |
| Square root | 289.780952 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.3973 × |
83973 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and seventy-three |
| Binary (base 2) | 10100100000000101 |
| Octal (base 8) | 244005 |
| Hexadecimal (base 16) | 14805 |
| Base 3 | 11021012010 |
| As time | 83973 seconds = 23 h 19 min 33 s |
Is 83973 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 (83973 ÷ 3 = 27991) | 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 | 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 3) | 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 10) | 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 83973 a prime number?
No. 83973 = 3 × 23 × 1217, so it is divisible by 3.
What are the factors of 83973?
1, 3, 23, 69, 1217, 3651, 27991, 83973.
What is 83973 in binary?
10100100000000101 (hexadecimal 14805, octal 244005).
What is the square root of 83973?
About 289.7810.
Is 83973 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 83973?
It is a composite number with 8 divisors.