The number 13912
13912 is a composite number with 16 divisors. Its prime factorisation is × 37 × 47. Divisors (16): 1, 2, 4, 8, 37, 47, 74, 94, 148, 188, 296, 376, 1739, 3478, 6956, 13912.
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How to work it out
- 1
13912 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13912 is composite. Its prime factorisation is
- 3
The divisors add up to 27360; without 13912 itself that is 13448, so 13912 is deficient (13448 is less than 13912). Euler's totient φ(13912) = 6624 numbers up to 13912 share no factor with it.
- 4
The digits of 13912 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13912 = 2^{3} \times 37 \times 47 \]13912 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27360 |
| Euler totient φ(n) | 6624 |
| Square | 193543744 |
| Cube | 2692580566528 |
| Square root | 117.949142 (= 2√3478) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3912 × |
13912 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and twelve |
| Binary (base 2) | 11011001011000 |
| Octal (base 8) | 33130 |
| Hexadecimal (base 16) | 3658 |
| Base 3 | 201002021 |
| As time | 13912 seconds = 3 h 51 min 52 s |
Is 13912 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13912 ÷ 2 = 6956) | 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 | Yes (13912 ÷ 4 = 3478) | 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 | 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 | Yes (13912 ÷ 8 = 1739) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13912 a prime number?
No. 13912 = × 37 × 47, so it is divisible by 2.
What are the factors of 13912?
1, 2, 4, 8, 37, 47, 74, 94, 148, 188, 296, 376, 1739, 3478, 6956, 13912.
What is 13912 in binary?
11011001011000 (hexadecimal 3658, octal 33130).
What is the square root of 13912?
About 117.9491, exactly 2√3478.
Is 13912 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13912?
It is a composite number with 16 divisors.