The number 2998
2998 is a composite number with 4 divisors. Its prime factorisation is 2 × 1499. Divisors (4): 1, 2, 1499, 2998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2998: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1499, the product of two primes.
- 2
2998 is composite. Its prime factorisation is
- 3
The divisors add up to 4500; without 2998 itself that is 1502, so 2998 is deficient (1502 is less than 2998). Euler's totient φ(2998) = 1498 numbers up to 2998 share no factor with it.
- 4
The digits of 2998 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2998 = 2 \times 1499 \]
2998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4500 |
| Euler totient φ(n) | 1498 |
| Square | 8988004 |
| Cube | 26946035992 |
| Square root | 54.753995 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.998 × |
2998 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety-eight |
| Roman numerals | MMCMXCVIII |
| Binary (base 2) | 101110110110 |
| Octal (base 8) | 5666 |
| Hexadecimal (base 16) | BB6 |
| Base 3 | 11010001 |
| As time | 2998 seconds = 49 min 58 s |
Is 2998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2998 ÷ 2 = 1499) | 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 2) | 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 6) | 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 2998 a prime number?
No. 2998 = 2 × 1499, so it is divisible by 2.
What are the factors of 2998?
1, 2, 1499, 2998.
What is 2998 in binary?
101110110110 (hexadecimal BB6, octal 5666).
What is the square root of 2998?
About 54.7540.
What is 2998 in Roman numerals?
MMCMXCVIII.
Is 2998 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 2998?
2998 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1499, the product of two primes.