λ
Harmonic Matrix

2,129,645

5 × 7 × 71 × 857
Deficient Odd Composite

2,129,645 has digital root 2. The neighboring primes are 2129627 and 2129671; its proper-divisor sum differs from the starting integer by -1,294,042.

Prime Factor Structure

Factorization String 5 × 7 × 71 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,965,248
Proper Divisor Sum 835,603
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2129627 ← → #2129671

Radix Representation

Decimal 2129645
Binary 1000000111111011101101 (22 bits)
Octal 0o10077355
Hexadecimal 0x207EED

Divisor Catalog (16)

1 5 7 35 71 355 497 857 2,485 4,285 5,999 29,995 60,847 304,235 425,929 2,129,645

Collatz Trajectory (60 steps to reach 1)

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

2,129,645 6,388,936 3,194,468 1,597,234 798,617 2,395,852 1,197,926 598,963 1,796,890 898,445 2,695,336 1,347,668 673,834 336,917 1,010,752 505,376 252,688 126,344 63,172 31,586 15,793 47,380 23,690 11,845 35,536 17,768 8,884 4,442 2,221 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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