λ
Harmonic Matrix

3,715,554

2 × 3 × 17 × 73 × 499
Abundant Even Composite

3,715,554 has digital root 3. The neighboring primes are 3715541 and 3715559; its proper-divisor sum differs from the starting integer by 560,892.

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Prime Factor Structure

Factorization String 2 × 3 × 17 × 73 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,992,000
Proper Divisor Sum 4,276,446
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3715541 ← → #3715559

Radix Representation

Decimal 3715554
Binary 1110001011000111100010 (22 bits)
Octal 0o16130742
Hexadecimal 0x38B1E2

Divisor Catalog (5 of 32)

1 2 3 6 17

Collatz Trajectory (79 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.

3,715,554 1,857,777 5,573,332 2,786,666 1,393,333

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