inputArray.html

<!DOCTYPE html>
<html lang="pt-br">

<head>
    <meta charset="UTF-8">
    <meta http-equiv="X-UA-Compatible" content="IE=edge">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>orden</title>
</head>

<body>
    <input type="text" id="numeros">
    <div id="resultado"></div>
    <input type="button" id="btnSalvar" value="salvar">
</body>

</html>

<script>
    let array = [];

    document.getElementById("btnSalvar").addEventListener("click", function () {
        let num = document.getElementById("numeros").value;

        array.push(num);

        array.sort(ordena);

        document.getElementById("resultado").innerText = array;

    });

    function ordena(a, b) {
        return a - b;
    }
</script>