The number 29998
29998 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 283. Divisors (8): 1, 2, 53, 106, 283, 566, 14999, 29998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29998 is composite. Its prime factorisation is
- 3
The divisors add up to 46008; without 29998 itself that is 16010, so 29998 is deficient (16010 is less than 29998). Euler's totient φ(29998) = 14664 numbers up to 29998 share no factor with it.
- 4
The digits of 29998 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29998 = 2 \times 53 \times 283 \]
29998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46008 |
| Euler totient φ(n) | 14664 |
| Square | 899880004 |
| Cube | 26994600359992 |
| Square root | 173.199307 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9998 × |
29998 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and ninety-eight |
| Binary (base 2) | 111010100101110 |
| Octal (base 8) | 72456 |
| Hexadecimal (base 16) | 752E |
| Base 3 | 1112011001 |
| As time | 29998 seconds = 8 h 19 min 58 s |
Is 29998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29998 ÷ 2 = 14999) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29998 a prime number?
No. 29998 = 2 × 53 × 283, so it is divisible by 2.
What are the factors of 29998?
1, 2, 53, 106, 283, 566, 14999, 29998.
What is 29998 in binary?
111010100101110 (hexadecimal 752E, octal 72456).
What is the square root of 29998?
About 173.1993.
Is 29998 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 29998?
It is a composite number with 8 divisors.