6,128,803

41 × 83 × 1801

Starting at 6,128,803, the Collatz iteration reaches 1 after 64 steps. The first transition is 18386410; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 41 × 83 × 1801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,357,456

Proper Divisor Sum 228,653

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6128783 ← → #6128813

Radix Representation

Decimal	6128803
Binary	10111011000010010100011 (23 bits)
Octal	0o27302243
Hexadecimal	0x5D84A3

Divisor Catalog (8)

1 41 83 1,801 3,403 73,841 149,483 6,128,803

Collatz Trajectory (64 steps to reach 1)

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

6,128,803 18,386,410 9,193,205 27,579,616 13,789,808 6,894,904 3,447,452 1,723,726 861,863 2,585,590 1,292,795 3,878,386 1,939,193 5,817,580 2,908,790 1,454,395 4,363,186 2,181,593 6,544,780 3,272,390 1,636,195 4,908,586 2,454,293 7,362,880 3,681,440 1,840,720 920,360 460,180 230,090 115,045 345,136 172,568 86,284 43,142 21,571 64,714 32,357 97,072 48,536 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5

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