The number 29949
29949 is a composite number with 8 divisors. Its prime factorisation is 3 × 67 × 149. Divisors (8): 1, 3, 67, 149, 201, 447, 9983, 29949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29949: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29949 is composite. Its prime factorisation is
- 3
The divisors add up to 40800; without 29949 itself that is 10851, so 29949 is deficient (10851 is less than 29949). Euler's totient φ(29949) = 19536 numbers up to 29949 share no factor with it.
- 4
The digits of 29949 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29949 = 3 \times 67 \times 149 \]
29949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40800 |
| Euler totient φ(n) | 19536 |
| Square | 896942601 |
| Cube | 26862533957349 |
| Square root | 173.057794 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9949 × |
29949 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and forty-nine |
| Binary (base 2) | 111010011111101 |
| Octal (base 8) | 72375 |
| Hexadecimal (base 16) | 74FD |
| Base 3 | 1112002020 |
| As time | 29949 seconds = 8 h 19 min 9 s |
Is 29949 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 (29949 ÷ 3 = 9983) | 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 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 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 7) | 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 29949 a prime number?
No. 29949 = 3 × 67 × 149, so it is divisible by 3.
What are the factors of 29949?
1, 3, 67, 149, 201, 447, 9983, 29949.
What is 29949 in binary?
111010011111101 (hexadecimal 74FD, octal 72375).
What is the square root of 29949?
About 173.0578.
Is 29949 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 29949?
29949 is a happy number: repeatedly adding the squares of its digits reaches 1.