The number 32900
32900 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 47. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 47, 50, 70, 94, 100 … 32900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32900: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
32900 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 32900 itself that is 50428, so 32900 is abundant (50428 is more than 32900). Euler's totient φ(32900) = 11040 numbers up to 32900 share no factor with it.
- 4
The digits of 32900 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32900 = 2^{2} \times 5^{2} \times 7 \times 47 \]32900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 11040 |
| Square | 1082410000 |
| Cube | 35611289000000 |
| Square root | 181.383571 (= 10√329) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.29 × |
32900 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred |
| Binary (base 2) | 1000000010000100 |
| Octal (base 8) | 100204 |
| Hexadecimal (base 16) | 8084 |
| Base 3 | 1200010112 |
| As time | 32900 seconds = 9 h 8 min 20 s |
Is 32900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32900 ÷ 2 = 16450) | 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 (32900 ÷ 4 = 8225) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32900 ÷ 5 = 6580) | 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 | Yes (32900 ÷ 7 = 4700) | 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 | Yes (32900 ÷ 10 = 3290) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 32900 a prime number?
No. 32900 = × × 7 × 47, so it is divisible by 2.
What are the factors of 32900?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 47, 50, 70, 94, 100, 140, 175, 188, 235, 329, 350, 470, 658, 700, 940, 1175, 1316, 1645, 2350, 3290, 4700, 6580, 8225, 16450, 32900.
What is 32900 in binary?
1000000010000100 (hexadecimal 8084, octal 100204).
What is the square root of 32900?
About 181.3836, exactly 10√329.
Is 32900 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32900?
32900 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.