The number 3973
3973 is a composite number with 4 divisors. Its prime factorisation is 29 × 137. Divisors (4): 1, 29, 137, 3973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3973: a semiprime: 29 × 137, the product of two primes.
- 2
3973 is composite. Its prime factorisation is
- 3
The divisors add up to 4140; without 3973 itself that is 167, so 3973 is deficient (167 is less than 3973). Euler's totient φ(3973) = 3808 numbers up to 3973 share no factor with it.
- 4
The digits of 3973 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3973 = 29 \times 137 \]
3973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4140 |
| Euler totient φ(n) | 3808 |
| Square | 15784729 |
| Cube | 62712728317 |
| Square root | 63.031738 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 95 |
| Scientific notation | 3.973 × |
3973 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and seventy-three |
| Roman numerals | MMMCMLXXIII |
| Binary (base 2) | 111110000101 |
| Octal (base 8) | 7605 |
| Hexadecimal (base 16) | F85 |
| Base 3 | 12110011 |
| As time | 3973 seconds = 1 h 6 min 13 s |
Is 3973 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 | No (remainder 4) | 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 4) | 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 2) | 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 3973 a prime number?
No. 3973 = 29 × 137, so it is divisible by 29.
What are the factors of 3973?
1, 29, 137, 3973.
What is 3973 in binary?
111110000101 (hexadecimal F85, octal 7605).
What is the square root of 3973?
About 63.0317.
What is 3973 in Roman numerals?
MMMCMLXXIII.
Is 3973 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3973?
3973 is a semiprime: 29 × 137, the product of two primes.