λ
Harmonic Matrix

8,169,080

23 × 5 × 331 × 617
Abundant Even Composite

8,169,080 has digital root 5. The neighboring primes are 8169079 and 8169101; its proper-divisor sum differs from the starting integer by 2,127,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 331 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,465,840
Proper Divisor Sum 10,296,760
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8169079 ← → #8169101

Radix Representation

Decimal 8169080
Binary 11111001010011001111000 (23 bits)
Octal 0o37123170
Hexadecimal 0x7CA678

Divisor Catalog (32)

1 2 4 5 8 10 20 40 331 617 662 1,234 1,324 1,655 2,468 2,648 3,085 3,310 4,936 6,170 6,620 12,340 13,240 24,680 204,227 408,454 816,908 1,021,135 1,633,816 2,042,270 4,084,540 8,169,080

Collatz Trajectory (155 steps to reach 1)

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

8,169,080 4,084,540 2,042,270 1,021,135 3,063,406 1,531,703 4,595,110 2,297,555 6,892,666 3,446,333 10,339,000 5,169,500 2,584,750 1,292,375 3,877,126 1,938,563 5,815,690 2,907,845 8,723,536 4,361,768 2,180,884 1,090,442 545,221 1,635,664 817,832 408,916 204,458 102,229 306,688 153,344 76,672 38,336 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

More profiles

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