The number 29948
29948 is a composite number with 6 divisors. Its prime factorisation is × 7487. Divisors (6): 1, 2, 4, 7487, 14974, 29948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29948 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 29948 itself that is 22468, so 29948 is deficient (22468 is less than 29948). Euler's totient φ(29948) = 14972 numbers up to 29948 share no factor with it.
- 4
The digits of 29948 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29948 = 2^{2} \times 7487 \]29948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 14972 |
| Square | 896882704 |
| Cube | 26859843219392 |
| Square root | 173.054905 (= 2√7487) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9948 × |
29948 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and forty-eight |
| Binary (base 2) | 111010011111100 |
| Octal (base 8) | 72374 |
| Hexadecimal (base 16) | 74FC |
| Base 3 | 1112002012 |
| As time | 29948 seconds = 8 h 19 min 8 s |
Is 29948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29948 ÷ 2 = 14974) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29948 ÷ 4 = 7487) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29948 a prime number?
No. 29948 = × 7487, so it is divisible by 2.
What are the factors of 29948?
1, 2, 4, 7487, 14974, 29948.
What is 29948 in binary?
111010011111100 (hexadecimal 74FC, octal 72374).
What is the square root of 29948?
About 173.0549, exactly 2√7487.
Is 29948 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 29948?
It is a composite number with 6 divisors.