5,342,038

2 × 13 × 205463

Starting at 5,342,038, the Collatz iteration reaches 1 after 219 steps. The first transition is 2671019; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 205463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,629,488

Proper Divisor Sum 3,287,450

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5342017 ← → #5342039

Radix Representation

Decimal	5342038
Binary	10100011000001101010110 (23 bits)
Octal	0o24301526
Hexadecimal	0x518356

Divisor Catalog (8)

1 2 13 26 205,463 410,926 2,671,019 5,342,038

Collatz Trajectory (219 steps to reach 1)

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

5,342,038 2,671,019 8,013,058 4,006,529 12,019,588 6,009,794 3,004,897 9,014,692 4,507,346 2,253,673 6,761,020 3,380,510 1,690,255 5,070,766 2,535,383 7,606,150 3,803,075 11,409,226 5,704,613 17,113,840 8,556,920 4,278,460 2,139,230 1,069,615 3,208,846 1,604,423 4,813,270 2,406,635 7,219,906 3,609,953 10,829,860 5,414,930 2,707,465 8,122,396 4,061,198 2,030,599 6,091,798 3,045,899 9,137,698 4,568,849 13,706,548 6,853,274 3,426,637 10,279,912 5,139,956 2,569,978 1,284,989 3,854,968 1,927,484 963,742 481,871 1,445,614 722,807 2,168,422 1,084,211 3,252,634 1,626,317 4,878,952 2,439,476 1,219,738

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