The number 973
973 is a composite number with 4 divisors. Its prime factorisation is 7 × 139. Divisors (4): 1, 7, 139, 973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 973: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 139, the product of two primes.
- 2
973 is composite. Its prime factorisation is
- 3
The divisors add up to 1120; without 973 itself that is 147, so 973 is deficient (147 is less than 973). Euler's totient φ(973) = 828 numbers up to 973 share no factor with it.
- 4
The digits of 973 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 973 = 7 \times 139 \]
973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1120 |
| Euler totient φ(n) | 828 |
| Square | 946729 |
| Cube | 921167317 |
| Square root | 31.192948 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 98 |
| Scientific notation | 9.73 × |
973 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and seventy-three |
| Roman numerals | CMLXXIII |
| Binary (base 2) | 1111001101 |
| Octal (base 8) | 1715 |
| Hexadecimal (base 16) | 3CD |
| Base 3 | 1100001 |
| As time | 973 seconds = 16 min 13 s |
Is 973 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (973 ÷ 7 = 139) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 973 a prime number?
No. 973 = 7 × 139, so it is divisible by 7.
What are the factors of 973?
1, 7, 139, 973.
What is 973 in binary?
1111001101 (hexadecimal 3CD, octal 1715).
What is the square root of 973?
About 31.1929.
What is 973 in Roman numerals?
CMLXXIII.
Is 973 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 973?
973 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 139, the product of two primes.