Question 6
Find the integer $X$ satisfying all these conditions:
- $X<5000$.
- Its digits, read from left to right, are in strictly increasing order.
- $X-3$ is a perfect cube.
- $X$ is not divisible by 8 and is not prime.
**Necessary convention for this self-study version:** $X$ is positive and has at least two digits. The original source does not state a digit-length restriction. Enter the integer only.
- $X<5000$.
- Its digits, read from left to right, are in strictly increasing order.
- $X-3$ is a perfect cube.
- $X$ is not divisible by 8 and is not prime.
**Necessary convention for this self-study version:** $X$ is positive and has at least two digits. The original source does not state a digit-length restriction. Enter the integer only.