λ
Harmonic Matrix

2,800,765

5 × 11 × 50923
Deficient Odd Composite

2,800,765 has digital root 1. The neighboring primes are 2800729 and 2800769; its proper-divisor sum differs from the starting integer by -1,935,002.

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Prime Factor Structure

Factorization String 5 × 11 × 50923
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,666,528
Proper Divisor Sum 865,763
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2800729 ← → #2800769

Radix Representation

Decimal 2800765
Binary 1010101011110001111101 (22 bits)
Octal 0o12536175
Hexadecimal 0x2ABC7D

Divisor Catalog (5 of 8)

Collatz Trajectory (156 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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