λ
Harmonic Matrix

2,737,596

22 × 3 × 19 × 12007
Abundant Even Composite

2,737,596 has digital root 3. The neighboring primes are 2737583 and 2737597; its proper-divisor sum differs from the starting integer by 1,249,288.

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Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 12007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,724,480
Proper Divisor Sum 3,986,884
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2737583 ← → #2737597

Radix Representation

Decimal 2737596
Binary 1010011100010110111100 (22 bits)
Octal 0o12342674
Hexadecimal 0x29C5BC

Divisor Catalog (5 of 24)

1 2 3 4 6

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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