λ
Harmonic Matrix

2,688,391

2688391
Deficient Odd Prime

2,688,391 has digital root 1. The neighboring primes are 2688377 and 2688419; its proper-divisor sum differs from the starting integer by -2,688,390.

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Prime Factor Structure

Factorization String 2688391
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,688,392
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2688377 ← → #2688419

Radix Representation

Decimal 2688391
Binary 1010010000010110000111 (22 bits)
Octal 0o12202607
Hexadecimal 0x290587

Divisor Catalog (2)

Collatz Trajectory (94 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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