λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,340,642
8,340,642
2 × 32 × 17 × 97 × 281
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 97 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,400,472
Proper Divisor Sum 11,059,830
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8340641 ← → #8340679

Radix Representation

Decimal 8340642
Binary 11111110100010010100010 (23 bits)
Octal 0o37642242
Hexadecimal 0x7F44A2

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 97 102 153 194 281 291 306 562 582 843 873 1,649 1,686 1,746 2,529 3,298 4,777 4,947 5,058 9,554 9,894 14,331 14,841 27,257 28,662 29,682 42,993 54,514 81,771 85,986 163,542 245,313 463,369 490,626 926,738 1,390,107 2,780,214 4,170,321 8,340,642

Collatz Trajectory (111 steps to reach 1)

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

8,340,642 4,170,321 12,510,964 6,255,482 3,127,741 9,383,224 4,691,612 2,345,806 1,172,903 3,518,710 1,759,355 5,278,066 2,639,033 7,917,100 3,958,550 1,979,275 5,937,826 2,968,913 8,906,740 4,453,370 2,226,685 6,680,056 3,340,028 1,670,014 835,007 2,505,022 1,252,511 3,757,534 1,878,767 5,636,302 2,818,151 8,454,454 4,227,227 12,681,682 6,340,841 19,022,524 9,511,262 4,755,631 14,266,894 7,133,447 21,400,342 10,700,171 32,100,514 16,050,257 48,150,772 24,075,386 12,037,693 36,113,080 18,056,540 9,028,270 4,514,135 13,542,406 6,771,203 20,313,610 10,156,805 30,470,416 15,235,208 7,617,604 3,808,802 1,904,401

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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