λ
Harmonic Matrix

2,157,392

24 × 134837
Deficient Even Composite

2,157,392 has digital root 2. The neighboring primes are 2157391 and 2157401; its proper-divisor sum differs from the starting integer by -134,806.

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Prime Factor Structure

Factorization String 2^4 × 134837
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 4,179,978
Proper Divisor Sum 2,022,586
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2157391 ← → #2157401

Radix Representation

Decimal 2157392
Binary 1000001110101101010000 (22 bits)
Octal 0o10165520
Hexadecimal 0x20EB50

Divisor Catalog (5 of 10)

1 2 4 8 16

Collatz Trajectory (166 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.

2,157,392 1,078,696 539,348 269,674 134,837

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