λ
Harmonic Matrix

8,942,734

2 × 712 × 887
Deficient Even Composite

8,942,734 has digital root 1. The neighboring primes are 8942671 and 8942741; its proper-divisor sum differs from the starting integer by -4,264,436.

Prime Factor Structure

Factorization String 2 × 71^2 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,621,032
Proper Divisor Sum 4,678,298
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8942671 ← → #8942741

Radix Representation

Decimal 8942734
Binary 100010000111010010001110 (24 bits)
Octal 0o42072216
Hexadecimal 0x88748E

Divisor Catalog (12)

1 2 71 142 887 1,774 5,041 10,082 62,977 125,954 4,471,367 8,942,734

Collatz Trajectory (119 steps to reach 1)

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

8,942,734 4,471,367 13,414,102 6,707,051 20,121,154 10,060,577 30,181,732 15,090,866 7,545,433 22,636,300 11,318,150 5,659,075 16,977,226 8,488,613 25,465,840 12,732,920 6,366,460 3,183,230 1,591,615 4,774,846 2,387,423 7,162,270 3,581,135 10,743,406 5,371,703 16,115,110 8,057,555 24,172,666 12,086,333 36,259,000 18,129,500 9,064,750 4,532,375 13,597,126 6,798,563 20,395,690 10,197,845 30,593,536 15,296,768 7,648,384 3,824,192 1,912,096 956,048 478,024 239,012 119,506 59,753 179,260 89,630 44,815 134,446 67,223 201,670 100,835 302,506 151,253 453,760 226,880 113,440 56,720

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