λ
Harmonic Matrix

4,752,829

83 × 173 × 331
Deficient Odd Composite

4,752,829 has digital root 1. The neighboring primes are 4752823 and 4752841; its proper-divisor sum differs from the starting integer by -4,653,146.

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Prime Factor Structure

Factorization String 83 × 173 × 331
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,852,512
Proper Divisor Sum 99,683
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4752823 ← → #4752841

Radix Representation

Decimal 4752829
Binary 10010001000010110111101 (23 bits)
Octal 0o22102675
Hexadecimal 0x4885BD

Divisor Catalog (5 of 8)

1 83 173 331 14,359

Collatz Trajectory (123 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.

4,752,829 14,258,488 7,129,244 3,564,622 1,782,311

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