The number 16379
16379 is a composite number with 4 divisors. Its prime factorisation is 11 × 1489. Divisors (4): 1, 11, 1489, 16379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16379: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1489, the product of two primes.
- 2
16379 is composite. Its prime factorisation is
- 3
The divisors add up to 17880; without 16379 itself that is 1501, so 16379 is deficient (1501 is less than 16379). Euler's totient φ(16379) = 14880 numbers up to 16379 share no factor with it.
- 4
The digits of 16379 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16379 = 11 \times 1489 \]
16379 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17880 |
| Euler totient φ(n) | 14880 |
| Square | 268271641 |
| Cube | 4394021207939 |
| Square root | 127.980467 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.6379 × |
16379 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and seventy-nine |
| Binary (base 2) | 11111111111011 |
| Octal (base 8) | 37773 |
| Hexadecimal (base 16) | 3FFB |
| Base 3 | 211110122 |
| As time | 16379 seconds = 4 h 32 min 59 s |
Is 16379 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16379 ÷ 11 = 1489) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16379 a prime number?
No. 16379 = 11 × 1489, so it is divisible by 11.
What are the factors of 16379?
1, 11, 1489, 16379.
What is 16379 in binary?
11111111111011 (hexadecimal 3FFB, octal 37773).
What is the square root of 16379?
About 127.9805.
Is 16379 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16379?
16379 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1489, the product of two primes.