λ
Harmonic Matrix

3,188,006

2 × 59 × 27017
Deficient Even Composite

3,188,006 has digital root 8. The neighboring primes are 3187979 and 3188033; its proper-divisor sum differs from the starting integer by -1,512,772.

Prime Factor Structure

Factorization String 2 × 59 × 27017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,863,240
Proper Divisor Sum 1,675,234
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3187979 ← → #3188033

Radix Representation

Decimal 3188006
Binary 1100001010010100100110 (22 bits)
Octal 0o14122446
Hexadecimal 0x30A526

Divisor Catalog (8)

1 2 59 118 27,017 54,034 1,594,003 3,188,006

Collatz Trajectory (146 steps to reach 1)

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

3,188,006 1,594,003 4,782,010 2,391,005 7,173,016 3,586,508 1,793,254 896,627 2,689,882 1,344,941 4,034,824 2,017,412 1,008,706 504,353 1,513,060 756,530 378,265 1,134,796 567,398 283,699 851,098 425,549 1,276,648 638,324 319,162 159,581 478,744 239,372 119,686 59,843 179,530 89,765 269,296 134,648 67,324 33,662 16,831 50,494 25,247 75,742 37,871 113,614 56,807 170,422 85,211 255,634 127,817 383,452 191,726 95,863 287,590 143,795 431,386 215,693 647,080 323,540 161,770 80,885 242,656 121,328

More profiles

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