The number 13392
13392 is a composite number with 40 divisors. Its prime factorisation is × × 31. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54 … 13392.
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How to work it out
- 1
What is special about 13392: a Harshad number: divisible by its digit sum 18.
- 2
13392 is composite. Its prime factorisation is
- 3
The divisors add up to 39680; without 13392 itself that is 26288, so 13392 is abundant (26288 is more than 13392). Euler's totient φ(13392) = 4320 numbers up to 13392 share no factor with it.
- 4
The digits of 13392 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13392 = 2^{4} \times 3^{3} \times 31 \]13392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 39680 |
| Euler totient φ(n) | 4320 |
| Square | 179345664 |
| Cube | 2401797132288 |
| Square root | 115.723809 (= 12√93) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3392 × |
13392 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ninety-two |
| Binary (base 2) | 11010001010000 |
| Octal (base 8) | 32120 |
| Hexadecimal (base 16) | 3450 |
| Base 3 | 200101000 |
| As time | 13392 seconds = 3 h 43 min 12 s |
Is 13392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13392 ÷ 2 = 6696) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13392 ÷ 3 = 4464) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13392 ÷ 4 = 3348) | 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 (13392 ÷ 6 = 2232) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (13392 ÷ 8 = 1674) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13392 ÷ 9 = 1488) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13392 ÷ 12 = 1116) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13392 a prime number?
No. 13392 = × × 31, so it is divisible by 2.
What are the factors of 13392?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54, 62, 72, 93, 108, 124, 144, 186, 216, 248, 279, 372, 432, 496, 558, 744, 837, 1116, 1488, 1674, 2232, 3348, 4464, 6696, 13392.
What is 13392 in binary?
11010001010000 (hexadecimal 3450, octal 32120).
What is the square root of 13392?
About 115.7238, exactly 12√93.
Is 13392 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13392?
13392 is a Harshad number: divisible by its digit sum 18.