λ
Harmonic Matrix

7,129,288

23 × 891161
Deficient Even Composite

7,129,288 has digital root 1. The neighboring primes are 7129277 and 7129301; its proper-divisor sum differs from the starting integer by -891,146.

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Prime Factor Structure

Factorization String 2^3 × 891161
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,367,430
Proper Divisor Sum 6,238,142
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7129277 ← → #7129301

Radix Representation

Decimal 7129288
Binary 11011001100100011001000 (23 bits)
Octal 0o33144310
Hexadecimal 0x6CC8C8

Divisor Catalog (5 of 8)

Collatz Trajectory (72 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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