λ
Harmonic Matrix

3,965,204

22 × 631 × 1571
Deficient Even Composite

3,965,204 has digital root 2. The neighboring primes are 3965197 and 3965219; its proper-divisor sum differs from the starting integer by -975,880.

Prime Factor Structure

Factorization String 2^2 × 631 × 1571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,954,528
Proper Divisor Sum 2,989,324
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3965197 ← → #3965219

Radix Representation

Decimal 3965204
Binary 1111001000000100010100 (22 bits)
Octal 0o17100424
Hexadecimal 0x3C8114

Divisor Catalog (12)

1 2 4 631 1,262 1,571 2,524 3,142 6,284 991,301 1,982,602 3,965,204

Collatz Trajectory (154 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,965,204 1,982,602 991,301 2,973,904 1,486,952 743,476 371,738 185,869 557,608 278,804 139,402 69,701 209,104 104,552 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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