λ
Harmonic Matrix

200,986

2 × 100493
Deficient Even Composite

200,986 has digital root 7. The neighboring primes are 200983 and 200987; its proper-divisor sum differs from the starting integer by -100,490.

Prime Factor Structure

Factorization String 2 × 100493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 301,482
Proper Divisor Sum 100,496
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #200983 ← → #200987

Radix Representation

Decimal 200986
Binary 110001000100011010 (18 bits)
Octal 0o610432
Hexadecimal 0x3111A

Divisor Catalog (4)

1 2 100,493 200,986

Collatz Trajectory (41 steps to reach 1)

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

200,986 100,493 301,480 150,740 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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