λ
Harmonic Matrix

206,139

3 × 68713
Deficient Odd Composite

206,139 has digital root 3. The neighboring primes are 206123 and 206153; its proper-divisor sum differs from the starting integer by -137,422.

Prime Factor Structure

Factorization String 3 × 68713
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 274,856
Proper Divisor Sum 68,717
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #206123 ← → #206153

Radix Representation

Decimal 206139
Binary 110010010100111011 (18 bits)
Octal 0o622473
Hexadecimal 0x3253B

Divisor Catalog (4)

1 3 68,713 206,139

Collatz Trajectory (129 steps to reach 1)

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

206,139 618,418 309,209 927,628 463,814 231,907 695,722 347,861 1,043,584 521,792 260,896 130,448 65,224 32,612 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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