The number 13762
13762 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 983. Divisors (8): 1, 2, 7, 14, 983, 1966, 6881, 13762.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13762 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13762 is composite. Its prime factorisation is
- 3
The divisors add up to 23616; without 13762 itself that is 9854, so 13762 is deficient (9854 is less than 13762). Euler's totient φ(13762) = 5892 numbers up to 13762 share no factor with it.
- 4
The digits of 13762 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13762 = 2 \times 7 \times 983 \]
13762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23616 |
| Euler totient φ(n) | 5892 |
| Square | 189392644 |
| Cube | 2606421566728 |
| Square root | 117.311551 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3762 × |
13762 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixty-two |
| Binary (base 2) | 11010111000010 |
| Octal (base 8) | 32702 |
| Hexadecimal (base 16) | 35C2 |
| Base 3 | 200212201 |
| As time | 13762 seconds = 3 h 49 min 22 s |
Is 13762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13762 ÷ 2 = 6881) | 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 2) | 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 (13762 ÷ 7 = 1966) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13762 a prime number?
No. 13762 = 2 × 7 × 983, so it is divisible by 2.
What are the factors of 13762?
1, 2, 7, 14, 983, 1966, 6881, 13762.
What is 13762 in binary?
11010111000010 (hexadecimal 35C2, octal 32702).
What is the square root of 13762?
About 117.3116.
Is 13762 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13762?
It is a composite number with 8 divisors.