The number 2949
2949 is a composite number with 4 divisors. Its prime factorisation is 3 × 983. Divisors (4): 1, 3, 983, 2949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2949: a semiprime: 3 × 983, the product of two primes.
- 2
2949 is composite. Its prime factorisation is
- 3
The divisors add up to 3936; without 2949 itself that is 987, so 2949 is deficient (987 is less than 2949). Euler's totient φ(2949) = 1964 numbers up to 2949 share no factor with it.
- 4
The digits of 2949 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2949 = 3 \times 983 \]
2949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3936 |
| Euler totient φ(n) | 1964 |
| Square | 8696601 |
| Cube | 25646276349 |
| Square root | 54.304696 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 141 |
| Scientific notation | 2.949 × |
2949 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and forty-nine |
| Roman numerals | MMCMXLIX |
| Binary (base 2) | 101110000101 |
| Octal (base 8) | 5605 |
| Hexadecimal (base 16) | B85 |
| Base 3 | 11001020 |
| As time | 2949 seconds = 49 min 9 s |
Is 2949 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 (2949 ÷ 3 = 983) | 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2949 a prime number?
No. 2949 = 3 × 983, so it is divisible by 3.
What are the factors of 2949?
1, 3, 983, 2949.
What is 2949 in binary?
101110000101 (hexadecimal B85, octal 5605).
What is the square root of 2949?
About 54.3047.
What is 2949 in Roman numerals?
MMCMXLIX.
Is 2949 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 2949?
2949 is a semiprime: 3 × 983, the product of two primes.