7,884,062

2 × 47 × 83873

Starting at 7,884,062, the Collatz iteration reaches 1 after 186 steps. The first transition is 3942031; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 47 × 83873

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,077,856

Proper Divisor Sum 4,193,794

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7884059 ← → #7884077

Radix Representation

Decimal	7884062
Binary	11110000100110100011110 (23 bits)
Octal	0o36046436
Hexadecimal	0x784D1E

Divisor Catalog (8)

1 2 47 94 83,873 167,746 3,942,031 7,884,062

Collatz Trajectory (186 steps to reach 1)

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

7,884,062 3,942,031 11,826,094 5,913,047 17,739,142 8,869,571 26,608,714 13,304,357 39,913,072 19,956,536 9,978,268 4,989,134 2,494,567 7,483,702 3,741,851 11,225,554 5,612,777 16,838,332 8,419,166 4,209,583 12,628,750 6,314,375 18,943,126 9,471,563 28,414,690 14,207,345 42,622,036 21,311,018 10,655,509 31,966,528 15,983,264 7,991,632 3,995,816 1,997,908 998,954 499,477 1,498,432 749,216 374,608 187,304 93,652 46,826 23,413 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390

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