The number 29938
29938 is a composite number with 4 divisors. Its prime factorisation is 2 × 14969. Divisors (4): 1, 2, 14969, 29938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29938: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 14969, the product of two primes.
- 2
29938 is composite. Its prime factorisation is
- 3
The divisors add up to 44910; without 29938 itself that is 14972, so 29938 is deficient (14972 is less than 29938). Euler's totient φ(29938) = 14968 numbers up to 29938 share no factor with it.
- 4
The digits of 29938 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29938 = 2 \times 14969 \]
29938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44910 |
| Euler totient φ(n) | 14968 |
| Square | 896283844 |
| Cube | 26832945721672 |
| Square root | 173.026010 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9938 × |
29938 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and thirty-eight |
| Binary (base 2) | 111010011110010 |
| Octal (base 8) | 72362 |
| Hexadecimal (base 16) | 74F2 |
| Base 3 | 1112001211 |
| As time | 29938 seconds = 8 h 18 min 58 s |
Is 29938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29938 ÷ 2 = 14969) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 29938 a prime number?
No. 29938 = 2 × 14969, so it is divisible by 2.
What are the factors of 29938?
1, 2, 14969, 29938.
What is 29938 in binary?
111010011110010 (hexadecimal 74F2, octal 72362).
What is the square root of 29938?
About 173.0260.
Is 29938 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 29938?
29938 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 14969, the product of two primes.