The number 14100
14100 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 47. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 47, 50, 60, 75 … 14100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14100: a Harshad number: divisible by its digit sum 6.
- 2
14100 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 14100 itself that is 27564, so 14100 is abundant (27564 is more than 14100). Euler's totient φ(14100) = 3680 numbers up to 14100 share no factor with it.
- 4
The digits of 14100 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14100 = 2^{2} \times 3 \times 5^{2} \times 47 \]14100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 3680 |
| Square | 198810000 |
| Cube | 2803221000000 |
| Square root | 118.743421 (= 10√141) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.41 × |
14100 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred |
| Binary (base 2) | 11011100010100 |
| Octal (base 8) | 33424 |
| Hexadecimal (base 16) | 3714 |
| Base 3 | 201100020 |
| As time | 14100 seconds = 3 h 55 min 0 s |
Is 14100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14100 ÷ 2 = 7050) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14100 ÷ 3 = 4700) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14100 ÷ 4 = 3525) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14100 ÷ 5 = 2820) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14100 ÷ 6 = 2350) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (14100 ÷ 10 = 1410) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14100 ÷ 12 = 1175) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14100 a prime number?
No. 14100 = × 3 × × 47, so it is divisible by 2.
What are the factors of 14100?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 47, 50, 60, 75, 94, 100, 141, 150, 188, 235, 282, 300, 470, 564, 705, 940, 1175, 1410, 2350, 2820, 3525, 4700, 7050, 14100.
What is 14100 in binary?
11011100010100 (hexadecimal 3714, octal 33424).
What is the square root of 14100?
About 118.7434, exactly 10√141.
Is 14100 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 14100?
14100 is a Harshad number: divisible by its digit sum 6.