λ
Harmonic Matrix

1,205,211

3 × 7 × 29 × 1979
Deficient Odd Composite

1,205,211 has digital root 3. The neighboring primes are 1205179 and 1205219; its proper-divisor sum differs from the starting integer by -509,622.

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Prime Factor Structure

Factorization String 3 × 7 × 29 × 1979
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,900,800
Proper Divisor Sum 695,589
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1205179 ← → #1205219

Radix Representation

Decimal 1205211
Binary 100100110001111011011 (21 bits)
Octal 0o4461733
Hexadecimal 0x1263DB

Divisor Catalog (5 of 16)

1 3 7 21 29

Collatz Trajectory (266 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

1,205,211 3,615,634 1,807,817 5,423,452 2,711,726

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