The number 14170
14170 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 109. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 109, 130, 218, 545, 1090, 1417, 2834, 7085, 14170.
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How to work it out
- 1
What is special about 14170: a Harshad number: divisible by its digit sum 13.
- 2
14170 is composite. Its prime factorisation is
- 3
The divisors add up to 27720; without 14170 itself that is 13550, so 14170 is deficient (13550 is less than 14170). Euler's totient φ(14170) = 5184 numbers up to 14170 share no factor with it.
- 4
The digits of 14170 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14170 = 2 \times 5 \times 13 \times 109 \]
14170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27720 |
| Euler totient φ(n) | 5184 |
| Square | 200788900 |
| Cube | 2845178713000 |
| Square root | 119.037809 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.417 × |
14170 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and seventy |
| Binary (base 2) | 11011101011010 |
| Octal (base 8) | 33532 |
| Hexadecimal (base 16) | 375A |
| Base 3 | 201102211 |
| As time | 14170 seconds = 3 h 56 min 10 s |
Is 14170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14170 ÷ 2 = 7085) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14170 ÷ 5 = 2834) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14170 ÷ 10 = 1417) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14170 a prime number?
No. 14170 = 2 × 5 × 13 × 109, so it is divisible by 2.
What are the factors of 14170?
1, 2, 5, 10, 13, 26, 65, 109, 130, 218, 545, 1090, 1417, 2834, 7085, 14170.
What is 14170 in binary?
11011101011010 (hexadecimal 375A, octal 33532).
What is the square root of 14170?
About 119.0378.
Is 14170 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14170?
14170 is a Harshad number: divisible by its digit sum 13.