12,027

3 × 19 × 211

Starting at 12,027, the Collatz iteration reaches 1 after 143 steps. The first transition is 36082; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,960

Proper Divisor Sum 4,933

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #12011 ← → #12037

Radix Representation

Decimal	12027
Binary	10111011111011 (14 bits)
Octal	0o27373
Hexadecimal	0x2EFB

Divisor Catalog (8)

1 3 19 57 211 633 4,009 12,027

Collatz Trajectory (143 steps to reach 1)

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

12,027 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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