The number 10376
10376 is a composite number with 8 divisors. Its prime factorisation is × 1297. Divisors (8): 1, 2, 4, 8, 1297, 2594, 5188, 10376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10376 is composite. Its prime factorisation is
- 3
The divisors add up to 19470; without 10376 itself that is 9094, so 10376 is deficient (9094 is less than 10376). Euler's totient φ(10376) = 5184 numbers up to 10376 share no factor with it.
- 4
The digits of 10376 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10376 = 2^{3} \times 1297 \]10376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19470 |
| Euler totient φ(n) | 5184 |
| Square | 107661376 |
| Cube | 1117094437376 |
| Square root | 101.862653 (= 2√2594) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 1.0376 × |
10376 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and seventy-six |
| Binary (base 2) | 10100010001000 |
| Octal (base 8) | 24210 |
| Hexadecimal (base 16) | 2888 |
| Base 3 | 112020022 |
| As time | 10376 seconds = 2 h 52 min 56 s |
Is 10376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10376 ÷ 2 = 5188) | 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 (10376 ÷ 4 = 2594) | 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 | 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 (10376 ÷ 8 = 1297) | 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 6) | 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 10376 a prime number?
No. 10376 = × 1297, so it is divisible by 2.
What are the factors of 10376?
1, 2, 4, 8, 1297, 2594, 5188, 10376.
What is 10376 in binary?
10100010001000 (hexadecimal 2888, octal 24210).
What is the square root of 10376?
About 101.8627, exactly 2√2594.
Is 10376 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10376?
It is a composite number with 8 divisors.