λ
Harmonic Matrix

743,226

2 × 3 × 11 × 11261
Abundant Even Composite

743,226 has digital root 6. The neighboring primes are 743221 and 743251; its proper-divisor sum differs from the starting integer by 135,276.

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Prime Factor Structure

Factorization String 2 × 3 × 11 × 11261
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,621,728
Proper Divisor Sum 878,502
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #743221 ← → #743251

Radix Representation

Decimal 743226
Binary 10110101011100111010 (20 bits)
Octal 0o2653472
Hexadecimal 0xB573A

Divisor Catalog (5 of 16)

1 2 3 6 11

Collatz Trajectory (162 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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