The number 7973
7973 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 67. Divisors (8): 1, 7, 17, 67, 119, 469, 1139, 7973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7973: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7973 is composite. Its prime factorisation is
- 3
The divisors add up to 9792; without 7973 itself that is 1819, so 7973 is deficient (1819 is less than 7973). Euler's totient φ(7973) = 6336 numbers up to 7973 share no factor with it.
- 4
The digits of 7973 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7973 = 7 \times 17 \times 67 \]
7973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9792 |
| Euler totient φ(n) | 6336 |
| Square | 63568729 |
| Cube | 506833476317 |
| Square root | 89.291657 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.973 × |
7973 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and seventy-three |
| Binary (base 2) | 1111100100101 |
| Octal (base 8) | 17445 |
| Hexadecimal (base 16) | 1F25 |
| Base 3 | 101221022 |
| As time | 7973 seconds = 2 h 12 min 53 s |
Is 7973 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 | Yes (7973 ÷ 7 = 1139) | 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 8) | 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 9) | 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 7973 a prime number?
No. 7973 = 7 × 17 × 67, so it is divisible by 7.
What are the factors of 7973?
1, 7, 17, 67, 119, 469, 1139, 7973.
What is 7973 in binary?
1111100100101 (hexadecimal 1F25, octal 17445).
What is the square root of 7973?
About 89.2917.
Is 7973 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7973?
7973 is a happy number: repeatedly adding the squares of its digits reaches 1.