The number 29955
29955 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 1997. Divisors (8): 1, 3, 5, 15, 1997, 5991, 9985, 29955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29955 is composite. Its prime factorisation is
- 3
The divisors add up to 47952; without 29955 itself that is 17997, so 29955 is deficient (17997 is less than 29955). Euler's totient φ(29955) = 15968 numbers up to 29955 share no factor with it.
- 4
The digits of 29955 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 209 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29955 = 3 \times 5 \times 1997 \]
29955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47952 |
| Euler totient φ(n) | 15968 |
| Square | 897302025 |
| Cube | 26878682158875 |
| Square root | 173.075128 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 209 |
| Scientific notation | 2.9955 × |
29955 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and fifty-five |
| Binary (base 2) | 111010100000011 |
| Octal (base 8) | 72403 |
| Hexadecimal (base 16) | 7503 |
| Base 3 | 1112002110 |
| As time | 29955 seconds = 8 h 19 min 15 s |
Is 29955 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 (29955 ÷ 3 = 9985) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29955 ÷ 5 = 5991) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29955 a prime number?
No. 29955 = 3 × 5 × 1997, so it is divisible by 3.
What are the factors of 29955?
1, 3, 5, 15, 1997, 5991, 9985, 29955.
What is 29955 in binary?
111010100000011 (hexadecimal 7503, octal 72403).
What is the square root of 29955?
About 173.0751.
Is 29955 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29955?
It is a composite number with 8 divisors.