λ
Harmonic Matrix

1,640,172

22 × 3 × 103 × 1327
Abundant Even Composite

1,640,172 has digital root 3. The neighboring primes are 1640167 and 1640183; its proper-divisor sum differs from the starting integer by 586,792.

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Prime Factor Structure

Factorization String 2^2 × 3 × 103 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,867,136
Proper Divisor Sum 2,226,964
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1640167 ← → #1640183

Radix Representation

Decimal 1640172
Binary 110010000011011101100 (21 bits)
Octal 0o6203354
Hexadecimal 0x1906EC

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (168 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.

1,640,172 820,086 410,043 1,230,130 615,065

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