4,239,820

2² × 5 × 13 × 23 × 709

Starting at 4,239,820, the Collatz iteration reaches 1 after 105 steps. The first transition is 2119910; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 23 × 709

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,019,520

Proper Divisor Sum 5,779,700

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4239811 ← → #4239821

Radix Representation

Decimal	4239820
Binary	10000001011000111001100 (23 bits)
Octal	0o20130714
Hexadecimal	0x40B1CC

Divisor Catalog (48)

1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 709 1,196 1,418 1,495 2,836 2,990 3,545 5,980 7,090 9,217 14,180 16,307 18,434 32,614 36,868 46,085 65,228 81,535 92,170 163,070 184,340 211,991 326,140 423,982 847,964 1,059,955 2,119,910 4,239,820

Collatz Trajectory (105 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,239,820 2,119,910 1,059,955 3,179,866 1,589,933 4,769,800 2,384,900 1,192,450 596,225 1,788,676 894,338 447,169 1,341,508 670,754 335,377 1,006,132 503,066 251,533 754,600 377,300 188,650 94,325 282,976 141,488 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749

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