The number 29980
29980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1499. Divisors (12): 1, 2, 4, 5, 10, 20, 1499, 2998, 5996, 7495, 14990, 29980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29980: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29980 is composite. Its prime factorisation is
- 3
The divisors add up to 63000; without 29980 itself that is 33020, so 29980 is abundant (33020 is more than 29980). Euler's totient φ(29980) = 11984 numbers up to 29980 share no factor with it.
- 4
The digits of 29980 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29980 = 2^{2} \times 5 \times 1499 \]29980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63000 |
| Euler totient φ(n) | 11984 |
| Square | 898800400 |
| Cube | 26946035992000 |
| Square root | 173.147336 (= 2√7495) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.998 × |
29980 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and eighty |
| Binary (base 2) | 111010100011100 |
| Octal (base 8) | 72434 |
| Hexadecimal (base 16) | 751C |
| Base 3 | 1112010101 |
| As time | 29980 seconds = 8 h 19 min 40 s |
Is 29980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29980 ÷ 2 = 14990) | 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 | Yes (29980 ÷ 4 = 7495) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29980 ÷ 5 = 5996) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29980 ÷ 10 = 2998) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29980 a prime number?
No. 29980 = × 5 × 1499, so it is divisible by 2.
What are the factors of 29980?
1, 2, 4, 5, 10, 20, 1499, 2998, 5996, 7495, 14990, 29980.
What is 29980 in binary?
111010100011100 (hexadecimal 751C, octal 72434).
What is the square root of 29980?
About 173.1473, exactly 2√7495.
Is 29980 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 29980?
29980 is a happy number: repeatedly adding the squares of its digits reaches 1.