λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,106,815
9,106,815
3 × 5 × 17 × 71 × 503
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17 × 71 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,676,416
Proper Divisor Sum 6,569,601
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9106813 ← → #9106817

Radix Representation

Decimal 9106815
Binary 100010101111010101111111 (24 bits)
Octal 0o42572577
Hexadecimal 0x8AF57F

Divisor Catalog (32)

1 3 5 15 17 51 71 85 213 255 355 503 1,065 1,207 1,509 2,515 3,621 6,035 7,545 8,551 18,105 25,653 35,713 42,755 107,139 128,265 178,565 535,695 607,121 1,821,363 3,035,605 9,106,815

Collatz Trajectory (243 steps to reach 1)

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

9,106,815 27,320,446 13,660,223 40,980,670 20,490,335 61,471,006 30,735,503 92,206,510 46,103,255 138,309,766 69,154,883 207,464,650 103,732,325 311,196,976 155,598,488 77,799,244 38,899,622 19,449,811 58,349,434 29,174,717 87,524,152 43,762,076 21,881,038 10,940,519 32,821,558 16,410,779 49,232,338 24,616,169 73,848,508 36,924,254 18,462,127 55,386,382 27,693,191 83,079,574 41,539,787 124,619,362 62,309,681 186,929,044 93,464,522 46,732,261 140,196,784 70,098,392 35,049,196 17,524,598 8,762,299 26,286,898 13,143,449 39,430,348 19,715,174 9,857,587 29,572,762 14,786,381 44,359,144 22,179,572 11,089,786 5,544,893 16,634,680 8,317,340 4,158,670 2,079,335

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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