4,042,839

3 × 19² × 3733

Starting at 4,042,839, the Collatz iteration reaches 1 after 84 steps. The first transition is 12128518; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 19^2 × 3733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,690,616

Proper Divisor Sum 1,647,777

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4042823 ← → #4042849

Radix Representation

Decimal	4042839
Binary	1111011011000001010111 (22 bits)
Octal	0o17330127
Hexadecimal	0x3DB057

Divisor Catalog (12)

1 3 19 57 361 1,083 3,733 11,199 70,927 212,781 1,347,613 4,042,839

Collatz Trajectory (84 steps to reach 1)

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

4,042,839 12,128,518 6,064,259 18,192,778 9,096,389 27,289,168 13,644,584 6,822,292 3,411,146 1,705,573 5,116,720 2,558,360 1,279,180 639,590 319,795 959,386 479,693 1,439,080 719,540 359,770 179,885 539,656 269,828 134,914 67,457 202,372 101,186 50,593 151,780 75,890 37,945 113,836 56,918 28,459 85,378 42,689 128,068 64,034 32,017 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713

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