The number 29900
29900 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 23. Divisors (36): 1, 2, 4, 5, 10, 13, 20, 23, 25, 26, 46, 50, 52, 65, 92, 100 … 29900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29900: a Harshad number: divisible by its digit sum 20.
- 2
29900 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 29900 itself that is 43012, so 29900 is abundant (43012 is more than 29900). Euler's totient φ(29900) = 10560 numbers up to 29900 share no factor with it.
- 4
The digits of 29900 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29900 = 2^{2} \times 5^{2} \times 13 \times 23 \]29900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 10560 |
| Square | 894010000 |
| Cube | 26730899000000 |
| Square root | 172.916165 (= 10√299) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.99 × |
29900 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred |
| Binary (base 2) | 111010011001100 |
| Octal (base 8) | 72314 |
| Hexadecimal (base 16) | 74CC |
| Base 3 | 1112000102 |
| As time | 29900 seconds = 8 h 18 min 20 s |
Is 29900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29900 ÷ 2 = 14950) | 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 (29900 ÷ 4 = 7475) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29900 ÷ 5 = 5980) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29900 ÷ 10 = 2990) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29900 a prime number?
No. 29900 = × × 13 × 23, so it is divisible by 2.
What are the factors of 29900?
1, 2, 4, 5, 10, 13, 20, 23, 25, 26, 46, 50, 52, 65, 92, 100, 115, 130, 230, 260, 299, 325, 460, 575, 598, 650, 1150, 1196, 1300, 1495, 2300, 2990, 5980, 7475, 14950, 29900.
What is 29900 in binary?
111010011001100 (hexadecimal 74CC, octal 72314).
What is the square root of 29900?
About 172.9162, exactly 10√299.
Is 29900 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 29900?
29900 is a Harshad number: divisible by its digit sum 20.