The number 16800
16800 is a composite number with 72 divisors. Its prime factorisation is × 3 × × 7. Divisors (72): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24 … 16800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16800: a Harshad number: divisible by its digit sum 15.
- 2
16800 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 16800 itself that is 45696, so 16800 is abundant (45696 is more than 16800). Euler's totient φ(16800) = 3840 numbers up to 16800 share no factor with it.
- 4
The digits of 16800 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16800 = 2^{5} \times 3 \times 5^{2} \times 7 \]16800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 3840 |
| Square | 282240000 |
| Cube | 4741632000000 |
| Square root | 129.614814 (= 20√42) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.68 × |
16800 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred |
| Binary (base 2) | 100000110100000 |
| Octal (base 8) | 40640 |
| Hexadecimal (base 16) | 41A0 |
| Base 3 | 212001020 |
| As time | 16800 seconds = 4 h 40 min 0 s |
Is 16800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16800 ÷ 2 = 8400) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16800 ÷ 3 = 5600) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16800 ÷ 4 = 4200) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16800 ÷ 5 = 3360) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16800 ÷ 6 = 2800) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16800 ÷ 7 = 2400) | 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 | Yes (16800 ÷ 8 = 2100) | 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 (16800 ÷ 10 = 1680) | 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 (16800 ÷ 12 = 1400) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16800 a prime number?
No. 16800 = × 3 × × 7, so it is divisible by 2.
What are the factors of 16800?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 200, 210, 224, 240, 280, 300, 336, 350, 400, 420, 480, 525, 560, 600, 672, 700, 800, 840, 1050, 1120, 1200, 1400, 1680, 2100, 2400, 2800, 3360, 4200, 5600, 8400, 16800.
What is 16800 in binary?
100000110100000 (hexadecimal 41A0, octal 40640).
What is the square root of 16800?
About 129.6148, exactly 20√42.
Is 16800 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16800?
16800 is a Harshad number: divisible by its digit sum 15.