The number 13456
13456 is a perfect square (116²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 29, 58, 116, 232, 464, 841, 1682, 3364, 6728, 13456.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13456: a perfect square (116²).
- 2
13456 is composite. Its prime factorisation is
- 3
The divisors add up to 27001; without 13456 itself that is 13545, so 13456 is abundant (13545 is more than 13456). Euler's totient φ(13456) = 6496 numbers up to 13456 share no factor with it.
- 4
The digits of 13456 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13456 = 2^{4} \times 29^{2} \]13456 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 27001 |
| Euler totient φ(n) | 6496 |
| Square | 181063936 |
| Cube | 2436396322816 |
| Square root | 116 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3456 × |
| Perfect power |
13456 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and fifty-six |
| Binary (base 2) | 11010010010000 |
| Octal (base 8) | 32220 |
| Hexadecimal (base 16) | 3490 |
| Base 3 | 200110101 |
| As time | 13456 seconds = 3 h 44 min 16 s |
Is 13456 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13456 ÷ 2 = 6728) | 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 (13456 ÷ 4 = 3364) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 (13456 ÷ 8 = 1682) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13456 a prime number?
No. 13456 = × , so it is divisible by 2.
What are the factors of 13456?
1, 2, 4, 8, 16, 29, 58, 116, 232, 464, 841, 1682, 3364, 6728, 13456.
What is 13456 in binary?
11010010010000 (hexadecimal 3490, octal 32220).
What is the square root of 13456?
116, because 116 × 116 = 13456.
Is 13456 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13456?
13456 is a perfect square (116²).