2,668,133

13 × 17 × 12073

Starting at 2,668,133, the Collatz iteration reaches 1 after 99 steps. The first transition is 8004400; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 12073

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,042,648

Proper Divisor Sum 374,515

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2668129 ← → #2668163

Radix Representation

Decimal	2668133
Binary	1010001011011001100101 (22 bits)
Octal	0o12133145
Hexadecimal	0x28B665

Divisor Catalog (8)

1 13 17 221 12,073 156,949 205,241 2,668,133

Collatz Trajectory (99 steps to reach 1)

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

2,668,133 8,004,400 4,002,200 2,001,100 1,000,550 500,275 1,500,826 750,413 2,251,240 1,125,620 562,810 281,405 844,216 422,108 211,054 105,527 316,582 158,291 474,874 237,437 712,312 356,156 178,078 89,039 267,118 133,559 400,678 200,339 601,018 300,509 901,528 450,764 225,382 112,691 338,074 169,037 507,112 253,556 126,778 63,389 190,168 95,084 47,542 23,771 71,314 35,657 106,972 53,486 26,743 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924

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