λ
Harmonic Matrix

8,241,086

2 × 7 × 588649
Deficient Even Composite

8,241,086 has digital root 2. The neighboring primes are 8241019 and 8241091; its proper-divisor sum differs from the starting integer by -2,354,572.

Prime Factor Structure

Factorization String 2 × 7 × 588649
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,127,600
Proper Divisor Sum 5,886,514
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8241019 ← → #8241091

Radix Representation

Decimal 8241086
Binary 11111011011111110111110 (23 bits)
Octal 0o37337676
Hexadecimal 0x7DBFBE

Divisor Catalog (8)

1 2 7 14 588,649 1,177,298 4,120,543 8,241,086

Collatz Trajectory (261 steps to reach 1)

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

8,241,086 4,120,543 12,361,630 6,180,815 18,542,446 9,271,223 27,813,670 13,906,835 41,720,506 20,860,253 62,580,760 31,290,380 15,645,190 7,822,595 23,467,786 11,733,893 35,201,680 17,600,840 8,800,420 4,400,210 2,200,105 6,600,316 3,300,158 1,650,079 4,950,238 2,475,119 7,425,358 3,712,679 11,138,038 5,569,019 16,707,058 8,353,529 25,060,588 12,530,294 6,265,147 18,795,442 9,397,721 28,193,164 14,096,582 7,048,291 21,144,874 10,572,437 31,717,312 15,858,656 7,929,328 3,964,664 1,982,332 991,166 495,583 1,486,750 743,375 2,230,126 1,115,063 3,345,190 1,672,595 5,017,786 2,508,893 7,526,680 3,763,340 1,881,670

More profiles

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