λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,967,006
2,967,006
2 × 3 × 7 × 41 × 1723
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 1723
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,951,168
Proper Divisor Sum 3,984,162
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2966987 ← → #2967011

Radix Representation

Decimal 2967006
Binary 1011010100010111011110 (22 bits)
Octal 0o13242736
Hexadecimal 0x2D45DE

Divisor Catalog (32)

1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1,722 1,723 3,446 5,169 10,338 12,061 24,122 36,183 70,643 72,366 141,286 211,929 423,858 494,501 989,002 1,483,503 2,967,006

Collatz Trajectory (120 steps to reach 1)

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

2,967,006 1,483,503 4,450,510 2,225,255 6,675,766 3,337,883 10,013,650 5,006,825 15,020,476 7,510,238 3,755,119 11,265,358 5,632,679 16,898,038 8,449,019 25,347,058 12,673,529 38,020,588 19,010,294 9,505,147 28,515,442 14,257,721 42,773,164 21,386,582 10,693,291 32,079,874 16,039,937 48,119,812 24,059,906 12,029,953 36,089,860 18,044,930 9,022,465 27,067,396 13,533,698 6,766,849 20,300,548 10,150,274 5,075,137 15,225,412 7,612,706 3,806,353 11,419,060 5,709,530 2,854,765 8,564,296 4,282,148 2,141,074 1,070,537 3,211,612 1,605,806 802,903 2,408,710 1,204,355 3,613,066 1,806,533 5,419,600 2,709,800 1,354,900 677,450

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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