The number 6900
6900 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 23. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60 … 6900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6900: a Harshad number: divisible by its digit sum 15.
- 2
6900 is composite. Its prime factorisation is
- 3
The divisors add up to 20832; without 6900 itself that is 13932, so 6900 is abundant (13932 is more than 6900). Euler's totient φ(6900) = 1760 numbers up to 6900 share no factor with it.
- 4
The digits of 6900 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6900 = 2^{2} \times 3 \times 5^{2} \times 23 \]6900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 20832 |
| Euler totient φ(n) | 1760 |
| Square | 47610000 |
| Cube | 328509000000 |
| Square root | 83.066239 (= 10√69) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.9 × |
6900 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred |
| Binary (base 2) | 1101011110100 |
| Octal (base 8) | 15364 |
| Hexadecimal (base 16) | 1AF4 |
| Base 3 | 100110120 |
| As time | 6900 seconds = 1 h 55 min 0 s |
Is 6900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6900 ÷ 2 = 3450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6900 ÷ 3 = 2300) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6900 ÷ 4 = 1725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6900 ÷ 5 = 1380) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6900 ÷ 6 = 1150) | 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 (6900 ÷ 10 = 690) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6900 ÷ 12 = 575) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6900 a prime number?
No. 6900 = × 3 × × 23, so it is divisible by 2.
What are the factors of 6900?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900.
What is 6900 in binary?
1101011110100 (hexadecimal 1AF4, octal 15364).
What is the square root of 6900?
About 83.0662, exactly 10√69.
Is 6900 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6900?
6900 is a Harshad number: divisible by its digit sum 15.