2,133,608

2³ × 266701

Starting at 2,133,608, the Collatz iteration reaches 1 after 96 steps. The first transition is 1066804; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 266701

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,000,530

Proper Divisor Sum 1,866,922

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2133601 ← → #2133611

Radix Representation

Decimal	2133608
Binary	1000001000111001101000 (22 bits)
Octal	0o10107150
Hexadecimal	0x208E68

Divisor Catalog (8)

1 2 4 8 266,701 533,402 1,066,804 2,133,608

Collatz Trajectory (96 steps to reach 1)

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

2,133,608 1,066,804 533,402 266,701 800,104 400,052 200,026 100,013 300,040 150,020 75,010 37,505 112,516 56,258 28,129 84,388 42,194 21,097 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258

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