λ
Harmonic Matrix

8,719,018

2 × 7 × 112 × 5147
Deficient Even Composite

8,719,018 has digital root 7. The neighboring primes are 8719003 and 8719021; its proper-divisor sum differs from the starting integer by -1,005,620.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 5147
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,432,416
Proper Divisor Sum 7,713,398
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8719003 ← → #8719021

Radix Representation

Decimal 8719018
Binary 100001010000101010101010 (24 bits)
Octal 0o41205252
Hexadecimal 0x850AAA

Divisor Catalog (24)

1 2 7 11 14 22 77 121 154 242 847 1,694 5,147 10,294 36,029 56,617 72,058 113,234 396,319 622,787 792,638 1,245,574 4,359,509 8,719,018

Collatz Trajectory (49 steps to reach 1)

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

8,719,018 4,359,509 13,078,528 6,539,264 3,269,632 1,634,816 817,408 408,704 204,352 102,176 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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