λ
Harmonic Matrix

2,731,229

37 × 97 × 761
Deficient Odd Composite

2,731,229 has digital root 8. The neighboring primes are 2731207 and 2731241; its proper-divisor sum differs from the starting integer by -2,624,770.

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Prime Factor Structure

Factorization String 37 × 97 × 761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,837,688
Proper Divisor Sum 106,459
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2731207 ← → #2731241

Radix Representation

Decimal 2731229
Binary 1010011010110011011101 (22 bits)
Octal 0o12326335
Hexadecimal 0x29ACDD

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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