2,006,263

7 × 286609

Starting at 2,006,263, the Collatz iteration reaches 1 after 65 steps. The first transition is 6018790; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 286609

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,292,880

Proper Divisor Sum 286,617

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2006239 ← → #2006273

Radix Representation

Decimal	2006263
Binary	111101001110011110111 (21 bits)
Octal	0o7516367
Hexadecimal	0x1E9CF7

Divisor Catalog (4)

1 7 286,609 2,006,263

Collatz Trajectory (65 steps to reach 1)

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

2,006,263 6,018,790 3,009,395 9,028,186 4,514,093 13,542,280 6,771,140 3,385,570 1,692,785 5,078,356 2,539,178 1,269,589 3,808,768 1,904,384 952,192 476,096 238,048 119,024 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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