The number 32100
32100 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 107. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100 … 32100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32100: a Harshad number: divisible by its digit sum 6.
- 2
32100 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 32100 itself that is 61644, so 32100 is abundant (61644 is more than 32100). Euler's totient φ(32100) = 8480 numbers up to 32100 share no factor with it.
- 4
The digits of 32100 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32100 = 2^{2} \times 3 \times 5^{2} \times 107 \]32100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 8480 |
| Square | 1030410000 |
| Cube | 33076161000000 |
| Square root | 179.164729 (= 10√321) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.21 × |
32100 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred |
| Binary (base 2) | 111110101100100 |
| Octal (base 8) | 76544 |
| Hexadecimal (base 16) | 7D64 |
| Base 3 | 1122000220 |
| As time | 32100 seconds = 8 h 55 min 0 s |
Is 32100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32100 ÷ 2 = 16050) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32100 ÷ 3 = 10700) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32100 ÷ 4 = 8025) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32100 ÷ 5 = 6420) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32100 ÷ 6 = 5350) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32100 ÷ 10 = 3210) | 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 | Yes (32100 ÷ 12 = 2675) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32100 a prime number?
No. 32100 = × 3 × × 107, so it is divisible by 2.
What are the factors of 32100?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 107, 150, 214, 300, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 2675, 3210, 5350, 6420, 8025, 10700, 16050, 32100.
What is 32100 in binary?
111110101100100 (hexadecimal 7D64, octal 76544).
What is the square root of 32100?
About 179.1647, exactly 10√321.
Is 32100 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 32100?
32100 is a Harshad number: divisible by its digit sum 6.