The number 8379
8379 is a composite number with 18 divisors. Its prime factorisation is × × 19. Divisors (18): 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197 … 8379.
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How to work it out
- 1
What is special about 8379: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8379 is composite. Its prime factorisation is
- 3
The divisors add up to 14820; without 8379 itself that is 6441, so 8379 is deficient (6441 is less than 8379). Euler's totient φ(8379) = 4536 numbers up to 8379 share no factor with it.
- 4
The digits of 8379 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8379 = 3^{2} \times 7^{2} \times 19 \]8379 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 14820 |
| Euler totient φ(n) | 4536 |
| Square | 70207641 |
| Cube | 588269823939 |
| Square root | 91.536878 (= 21√19) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.379 × |
8379 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and seventy-nine |
| Binary (base 2) | 10000010111011 |
| Octal (base 8) | 20273 |
| Hexadecimal (base 16) | 20BB |
| Base 3 | 102111100 |
| As time | 8379 seconds = 2 h 19 min 39 s |
Is 8379 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 | Yes (8379 ÷ 3 = 2793) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8379 ÷ 7 = 1197) | 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 | Yes (8379 ÷ 9 = 931) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8379 a prime number?
No. 8379 = × × 19, so it is divisible by 3.
What are the factors of 8379?
1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379.
What is 8379 in binary?
10000010111011 (hexadecimal 20BB, octal 20273).
What is the square root of 8379?
About 91.5369, exactly 21√19.
Is 8379 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8379?
8379 is a happy number: repeatedly adding the squares of its digits reaches 1.