λ
Harmonic Matrix

668,639

31 × 21569
Deficient Odd Composite

668,639 has digital root 2. The neighboring primes are 668623 and 668671; its proper-divisor sum differs from the starting integer by -647,038.

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Prime Factor Structure

Factorization String 31 × 21569
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 690,240
Proper Divisor Sum 21,601
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #668623 ← → #668671

Radix Representation

Decimal 668639
Binary 10100011001111011111 (20 bits)
Octal 0o2431737
Hexadecimal 0xA33DF

Divisor Catalog (4)

Collatz Trajectory (92 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.

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