The number 21300
21300 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 71. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 71, 75 … 21300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21300: a Harshad number: divisible by its digit sum 6.
- 2
21300 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 21300 itself that is 41196, so 21300 is abundant (41196 is more than 21300). Euler's totient φ(21300) = 5600 numbers up to 21300 share no factor with it.
- 4
The digits of 21300 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21300 = 2^{2} \times 3 \times 5^{2} \times 71 \]21300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 5600 |
| Square | 453690000 |
| Cube | 9663597000000 |
| Square root | 145.945195 (= 10√213) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.13 × |
21300 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred |
| Binary (base 2) | 101001100110100 |
| Octal (base 8) | 51464 |
| Hexadecimal (base 16) | 5334 |
| Base 3 | 1002012220 |
| As time | 21300 seconds = 5 h 55 min 0 s |
Is 21300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21300 ÷ 2 = 10650) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21300 ÷ 3 = 7100) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21300 ÷ 4 = 5325) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (21300 ÷ 5 = 4260) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21300 ÷ 6 = 3550) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (21300 ÷ 10 = 2130) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (21300 ÷ 12 = 1775) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21300 a prime number?
No. 21300 = × 3 × × 71, so it is divisible by 2.
What are the factors of 21300?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 71, 75, 100, 142, 150, 213, 284, 300, 355, 426, 710, 852, 1065, 1420, 1775, 2130, 3550, 4260, 5325, 7100, 10650, 21300.
What is 21300 in binary?
101001100110100 (hexadecimal 5334, octal 51464).
What is the square root of 21300?
About 145.9452, exactly 10√213.
Is 21300 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 21300?
21300 is a Harshad number: divisible by its digit sum 6.