λ
Harmonic Matrix

3,961,488

24 × 3 × 82531
Abundant Even Composite

3,961,488 has digital root 3. The neighboring primes are 3961469 and 3961501; its proper-divisor sum differs from the starting integer by 2,310,992.

Prime Factor Structure

Factorization String 2^4 × 3 × 82531
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,233,968
Proper Divisor Sum 6,272,480
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3961469 ← → #3961501

Radix Representation

Decimal 3961488
Binary 1111000111001010010000 (22 bits)
Octal 0o17071220
Hexadecimal 0x3C7290

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 82,531 165,062 247,593 330,124 495,186 660,248 990,372 1,320,496 1,980,744 3,961,488

Collatz Trajectory (154 steps to reach 1)

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

3,961,488 1,980,744 990,372 495,186 247,593 742,780 371,390 185,695 557,086 278,543 835,630 417,815 1,253,446 626,723 1,880,170 940,085 2,820,256 1,410,128 705,064 352,532 176,266 88,133 264,400 132,200 66,100 33,050 16,525 49,576 24,788 12,394 6,197 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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