The number 5949
5949 is a composite number with 6 divisors. Its prime factorisation is × 661. Divisors (6): 1, 3, 9, 661, 1983, 5949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5949: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5949 is composite. Its prime factorisation is
- 3
The divisors add up to 8606; without 5949 itself that is 2657, so 5949 is deficient (2657 is less than 5949). Euler's totient φ(5949) = 3960 numbers up to 5949 share no factor with it.
- 4
The digits of 5949 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5949 = 3^{2} \times 661 \]5949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8606 |
| Euler totient φ(n) | 3960 |
| Square | 35390601 |
| Cube | 210538685349 |
| Square root | 77.129761 (= 3√661) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.949 × |
5949 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and forty-nine |
| Binary (base 2) | 1011100111101 |
| Octal (base 8) | 13475 |
| Hexadecimal (base 16) | 173D |
| Base 3 | 22011100 |
| As time | 5949 seconds = 1 h 39 min 9 s |
Is 5949 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 (5949 ÷ 3 = 1983) | 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 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 | Yes (5949 ÷ 9 = 661) | 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 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 5949 a prime number?
No. 5949 = × 661, so it is divisible by 3.
What are the factors of 5949?
1, 3, 9, 661, 1983, 5949.
What is 5949 in binary?
1011100111101 (hexadecimal 173D, octal 13475).
What is the square root of 5949?
About 77.1298, exactly 3√661.
Is 5949 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5949?
5949 is a happy number: repeatedly adding the squares of its digits reaches 1.