λ
Harmonic Matrix

6,678,682

2 × 59 × 56599
Deficient Even Composite

6,678,682 has digital root 7. The neighboring primes are 6678667 and 6678691; its proper-divisor sum differs from the starting integer by -3,169,364.

Prime Factor Structure

Factorization String 2 × 59 × 56599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,188,000
Proper Divisor Sum 3,509,318
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6678667 ← → #6678691

Radix Representation

Decimal 6678682
Binary 11001011110100010011010 (23 bits)
Octal 0o31364232
Hexadecimal 0x65E89A

Divisor Catalog (8)

1 2 59 118 56,599 113,198 3,339,341 6,678,682

Collatz Trajectory (209 steps to reach 1)

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

6,678,682 3,339,341 10,018,024 5,009,012 2,504,506 1,252,253 3,756,760 1,878,380 939,190 469,595 1,408,786 704,393 2,113,180 1,056,590 528,295 1,584,886 792,443 2,377,330 1,188,665 3,565,996 1,782,998 891,499 2,674,498 1,337,249 4,011,748 2,005,874 1,002,937 3,008,812 1,504,406 752,203 2,256,610 1,128,305 3,384,916 1,692,458 846,229 2,538,688 1,269,344 634,672 317,336 158,668 79,334 39,667 119,002 59,501 178,504 89,252 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176

More profiles

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