The number 14072
14072 is a composite number with 8 divisors. Its prime factorisation is × 1759. Divisors (8): 1, 2, 4, 8, 1759, 3518, 7036, 14072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14072: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14072 is composite. Its prime factorisation is
- 3
The divisors add up to 26400; without 14072 itself that is 12328, so 14072 is deficient (12328 is less than 14072). Euler's totient φ(14072) = 7032 numbers up to 14072 share no factor with it.
- 4
The digits of 14072 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14072 = 2^{3} \times 1759 \]14072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26400 |
| Euler totient φ(n) | 7032 |
| Square | 198021184 |
| Cube | 2786554101248 |
| Square root | 118.625461 (= 2√3518) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.4072 × |
14072 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and seventy-two |
| Binary (base 2) | 11011011111000 |
| Octal (base 8) | 33370 |
| Hexadecimal (base 16) | 36F8 |
| Base 3 | 201022012 |
| As time | 14072 seconds = 3 h 54 min 32 s |
Is 14072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14072 ÷ 2 = 7036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14072 ÷ 4 = 3518) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (14072 ÷ 8 = 1759) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14072 a prime number?
No. 14072 = × 1759, so it is divisible by 2.
What are the factors of 14072?
1, 2, 4, 8, 1759, 3518, 7036, 14072.
What is 14072 in binary?
11011011111000 (hexadecimal 36F8, octal 33370).
What is the square root of 14072?
About 118.6255, exactly 2√3518.
Is 14072 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14072?
14072 is a happy number: repeatedly adding the squares of its digits reaches 1.