λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,746,166
8,746,166
2 × 11 × 13 × 53 × 577
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 13 × 53 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,730,848
Proper Divisor Sum 6,984,682
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8746117 ← → #8746193

Radix Representation

Decimal 8746166
Binary 100001010111010010110110 (24 bits)
Octal 0o41272266
Hexadecimal 0x8574B6

Divisor Catalog (32)

1 2 11 13 22 26 53 106 143 286 577 583 689 1,154 1,166 1,378 6,347 7,501 7,579 12,694 15,002 15,158 30,581 61,162 82,511 165,022 336,391 397,553 672,782 795,106 4,373,083 8,746,166

Collatz Trajectory (212 steps to reach 1)

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

8,746,166 4,373,083 13,119,250 6,559,625 19,678,876 9,839,438 4,919,719 14,759,158 7,379,579 22,138,738 11,069,369 33,208,108 16,604,054 8,302,027 24,906,082 12,453,041 37,359,124 18,679,562 9,339,781 28,019,344 14,009,672 7,004,836 3,502,418 1,751,209 5,253,628 2,626,814 1,313,407 3,940,222 1,970,111 5,910,334 2,955,167 8,865,502 4,432,751 13,298,254 6,649,127 19,947,382 9,973,691 29,921,074 14,960,537 44,881,612 22,440,806 11,220,403 33,661,210 16,830,605 50,491,816 25,245,908 12,622,954 6,311,477 18,934,432 9,467,216 4,733,608 2,366,804 1,183,402 591,701 1,775,104 887,552 443,776 221,888 110,944 55,472

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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