The number 8376
8376 is a composite number with 16 divisors. Its prime factorisation is × 3 × 349. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8376: a Harshad number: divisible by its digit sum 24.
- 2
8376 is composite. Its prime factorisation is
- 3
The divisors add up to 21000; without 8376 itself that is 12624, so 8376 is abundant (12624 is more than 8376). Euler's totient φ(8376) = 2784 numbers up to 8376 share no factor with it.
- 4
The digits of 8376 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8376 = 2^{3} \times 3 \times 349 \]8376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21000 |
| Euler totient φ(n) | 2784 |
| Square | 70157376 |
| Cube | 587638181376 |
| Square root | 91.520490 (= 2√2094) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.376 × |
8376 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and seventy-six |
| Binary (base 2) | 10000010111000 |
| Octal (base 8) | 20270 |
| Hexadecimal (base 16) | 20B8 |
| Base 3 | 102111020 |
| As time | 8376 seconds = 2 h 19 min 36 s |
Is 8376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8376 ÷ 2 = 4188) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8376 ÷ 3 = 2792) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8376 ÷ 4 = 2094) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8376 ÷ 6 = 1396) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (8376 ÷ 8 = 1047) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8376 ÷ 12 = 698) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8376 a prime number?
No. 8376 = × 3 × 349, so it is divisible by 2.
What are the factors of 8376?
1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376.
What is 8376 in binary?
10000010111000 (hexadecimal 20B8, octal 20270).
What is the square root of 8376?
About 91.5205, exactly 2√2094.
Is 8376 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8376?
8376 is a Harshad number: divisible by its digit sum 24.