The number 10377
10377 is a composite number with 6 divisors. Its prime factorisation is × 1153. Divisors (6): 1, 3, 9, 1153, 3459, 10377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10377 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10377 is composite. Its prime factorisation is
- 3
The divisors add up to 15002; without 10377 itself that is 4625, so 10377 is deficient (4625 is less than 10377). Euler's totient φ(10377) = 6912 numbers up to 10377 share no factor with it.
- 4
The digits of 10377 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10377 = 3^{2} \times 1153 \]10377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15002 |
| Euler totient φ(n) | 6912 |
| Square | 107682129 |
| Cube | 1117417452633 |
| Square root | 101.867561 (= 3√1153) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0377 × |
10377 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and seventy-seven |
| Binary (base 2) | 10100010001001 |
| Octal (base 8) | 24211 |
| Hexadecimal (base 16) | 2889 |
| Base 3 | 112020100 |
| As time | 10377 seconds = 2 h 52 min 57 s |
Is 10377 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 (10377 ÷ 3 = 3459) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10377 ÷ 9 = 1153) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10377 a prime number?
No. 10377 = × 1153, so it is divisible by 3.
What are the factors of 10377?
1, 3, 9, 1153, 3459, 10377.
What is 10377 in binary?
10100010001001 (hexadecimal 2889, octal 24211).
What is the square root of 10377?
About 101.8676, exactly 3√1153.
Is 10377 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10377?
It is a composite number with 6 divisors.