The number 18496
18496 is a perfect square (136²). Its prime factorisation is × . Divisors (21): 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 289, 544, 578, 1088 … 18496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18496: a perfect square (136²).
- 2
18496 is composite. Its prime factorisation is
- 3
The divisors add up to 38989; without 18496 itself that is 20493, so 18496 is abundant (20493 is more than 18496). Euler's totient φ(18496) = 8704 numbers up to 18496 share no factor with it.
- 4
The digits of 18496 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18496 = 2^{6} \times 17^{2} \]18496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 21 |
| Sum of divisors | 38989 |
| Euler totient φ(n) | 8704 |
| Square | 342102016 |
| Cube | 6327518887936 |
| Square root | 136 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.8496 × |
| Perfect power |
18496 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and ninety-six |
| Binary (base 2) | 100100001000000 |
| Octal (base 8) | 44100 |
| Hexadecimal (base 16) | 4840 |
| Base 3 | 221101001 |
| As time | 18496 seconds = 5 h 8 min 16 s |
Is 18496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18496 ÷ 2 = 9248) | 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 (18496 ÷ 4 = 4624) | 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 (18496 ÷ 8 = 2312) | 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 5) | 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 18496 a prime number?
No. 18496 = × , so it is divisible by 2.
What are the factors of 18496?
1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 289, 544, 578, 1088, 1156, 2312, 4624, 9248, 18496.
What is 18496 in binary?
100100001000000 (hexadecimal 4840, octal 44100).
What is the square root of 18496?
136, because 136 × 136 = 18496.
Is 18496 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 18496?
18496 is a perfect square (136²).