3,200,838

2 × 3 × 113 × 4721

Starting at 3,200,838, the Collatz iteration reaches 1 after 94 steps. The first transition is 1600419; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 4721

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,459,696

Proper Divisor Sum 3,258,858

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3200837 ← → #3200839

Radix Representation

Decimal	3200838
Binary	1100001101011101000110 (22 bits)
Octal	0o14153506
Hexadecimal	0x30D746

Divisor Catalog (16)

1 2 3 6 113 226 339 678 4,721 9,442 14,163 28,326 533,473 1,066,946 1,600,419 3,200,838

Collatz Trajectory (94 steps to reach 1)

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

3,200,838 1,600,419 4,801,258 2,400,629 7,201,888 3,600,944 1,800,472 900,236 450,118 225,059 675,178 337,589 1,012,768 506,384 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388

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