The number 29973
29973 is a composite number with 8 divisors. Its prime factorisation is 3 × 97 × 103. Divisors (8): 1, 3, 97, 103, 291, 309, 9991, 29973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29973 is composite. Its prime factorisation is
- 3
The divisors add up to 40768; without 29973 itself that is 10795, so 29973 is deficient (10795 is less than 29973). Euler's totient φ(29973) = 19584 numbers up to 29973 share no factor with it.
- 4
The digits of 29973 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29973 = 3 \times 97 \times 103 \]
29973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40768 |
| Euler totient φ(n) | 19584 |
| Square | 898380729 |
| Cube | 26927165590317 |
| Square root | 173.127121 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9973 × |
29973 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and seventy-three |
| Binary (base 2) | 111010100010101 |
| Octal (base 8) | 72425 |
| Hexadecimal (base 16) | 7515 |
| Base 3 | 1112010010 |
| As time | 29973 seconds = 8 h 19 min 33 s |
Is 29973 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 (29973 ÷ 3 = 9991) | 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 6) | 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 9) | 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 29973 a prime number?
No. 29973 = 3 × 97 × 103, so it is divisible by 3.
What are the factors of 29973?
1, 3, 97, 103, 291, 309, 9991, 29973.
What is 29973 in binary?
111010100010101 (hexadecimal 7515, octal 72425).
What is the square root of 29973?
About 173.1271.
Is 29973 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29973?
It is a composite number with 8 divisors.