The number 10738
10738 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 59. Divisors (16): 1, 2, 7, 13, 14, 26, 59, 91, 118, 182, 413, 767, 826, 1534, 5369, 10738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10738 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 10738 itself that is 9422, so 10738 is deficient (9422 is less than 10738). Euler's totient φ(10738) = 4176 numbers up to 10738 share no factor with it.
- 4
The digits of 10738 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10738 = 2 \times 7 \times 13 \times 59 \]
10738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 4176 |
| Square | 115304644 |
| Cube | 1238141267272 |
| Square root | 103.624321 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 1.0738 × |
10738 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and thirty-eight |
| Binary (base 2) | 10100111110010 |
| Octal (base 8) | 24762 |
| Hexadecimal (base 16) | 29F2 |
| Base 3 | 112201201 |
| As time | 10738 seconds = 2 h 58 min 58 s |
Is 10738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10738 ÷ 2 = 5369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10738 ÷ 7 = 1534) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10738 a prime number?
No. 10738 = 2 × 7 × 13 × 59, so it is divisible by 2.
What are the factors of 10738?
1, 2, 7, 13, 14, 26, 59, 91, 118, 182, 413, 767, 826, 1534, 5369, 10738.
What is 10738 in binary?
10100111110010 (hexadecimal 29F2, octal 24762).
What is the square root of 10738?
About 103.6243.
Is 10738 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 10738?
It is a composite number with 16 divisors.