132,766

2 × 66383

Starting at 132,766, the Collatz iteration reaches 1 after 118 steps. The first transition is 66383; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 66383

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 199,152

Proper Divisor Sum 66,386

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #132763 ← → #132817

Radix Representation

Decimal	132766
Binary	100000011010011110 (18 bits)
Octal	0o403236
Hexadecimal	0x2069E

Divisor Catalog (4)

1 2 66,383 132,766

Collatz Trajectory (118 steps to reach 1)

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

132,766 66,383 199,150 99,575 298,726 149,363 448,090 224,045 672,136 336,068 168,034 84,017 252,052 126,026 63,013 189,040 94,520 47,260 23,630 11,815 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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