8,722,126

2 × 7 × 623009

Starting at 8,722,126, the Collatz iteration reaches 1 after 181 steps. The first transition is 4361063; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 623009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,952,240

Proper Divisor Sum 6,230,114

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8722123 ← → #8722169

Radix Representation

Decimal	8722126
Binary	100001010001011011001110 (24 bits)
Octal	0o41213316
Hexadecimal	0x8516CE

Divisor Catalog (8)

1 2 7 14 623,009 1,246,018 4,361,063 8,722,126

Collatz Trajectory (181 steps to reach 1)

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

8,722,126 4,361,063 13,083,190 6,541,595 19,624,786 9,812,393 29,437,180 14,718,590 7,359,295 22,077,886 11,038,943 33,116,830 16,558,415 49,675,246 24,837,623 74,512,870 37,256,435 111,769,306 55,884,653 167,653,960 83,826,980 41,913,490 20,956,745 62,870,236 31,435,118 15,717,559 47,152,678 23,576,339 70,729,018 35,364,509 106,093,528 53,046,764 26,523,382 13,261,691 39,785,074 19,892,537 59,677,612 29,838,806 14,919,403 44,758,210 22,379,105 67,137,316 33,568,658 16,784,329 50,352,988 25,176,494 12,588,247 37,764,742 18,882,371 56,647,114 28,323,557 84,970,672 42,485,336 21,242,668 10,621,334 5,310,667 15,932,002 7,966,001 23,898,004 11,949,002

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