The number 13962
13962 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 179. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 179, 358, 537, 1074, 2327, 4654, 6981, 13962.
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How to work it out
- 1
13962 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13962 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 13962 itself that is 16278, so 13962 is abundant (16278 is more than 13962). Euler's totient φ(13962) = 4272 numbers up to 13962 share no factor with it.
- 4
The digits of 13962 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13962 = 2 \times 3 \times 13 \times 179 \]
13962 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 4272 |
| Square | 194937444 |
| Cube | 2721716593128 |
| Square root | 118.160907 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3962 × |
13962 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixty-two |
| Binary (base 2) | 11011010001010 |
| Octal (base 8) | 33212 |
| Hexadecimal (base 16) | 368A |
| Base 3 | 201011010 |
| As time | 13962 seconds = 3 h 52 min 42 s |
Is 13962 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13962 ÷ 2 = 6981) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13962 ÷ 3 = 4654) | 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 | Yes (13962 ÷ 6 = 2327) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13962 a prime number?
No. 13962 = 2 × 3 × 13 × 179, so it is divisible by 2.
What are the factors of 13962?
1, 2, 3, 6, 13, 26, 39, 78, 179, 358, 537, 1074, 2327, 4654, 6981, 13962.
What is 13962 in binary?
11011010001010 (hexadecimal 368A, octal 33212).
What is the square root of 13962?
About 118.1609.
Is 13962 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13962?
It is a composite number with 16 divisors.