λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,851,004
9,851,004
22 × 33 × 53 × 1721
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 53 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,036,640
Proper Divisor Sum 16,185,636
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9850993 ← → #9851011

Radix Representation

Decimal 9851004
Binary 100101100101000001111100 (24 bits)
Octal 0o45450174
Hexadecimal 0x96507C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1,431 1,721 1,908 2,862 3,442 5,163 5,724 6,884 10,326 15,489 20,652 30,978 46,467 61,956 91,213 92,934 182,426 185,868 273,639 364,852 547,278 820,917 1,094,556 1,641,834 2,462,751 3,283,668 4,925,502 9,851,004

Collatz Trajectory (168 steps to reach 1)

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

9,851,004 4,925,502 2,462,751 7,388,254 3,694,127 11,082,382 5,541,191 16,623,574 8,311,787 24,935,362 12,467,681 37,403,044 18,701,522 9,350,761 28,052,284 14,026,142 7,013,071 21,039,214 10,519,607 31,558,822 15,779,411 47,338,234 23,669,117 71,007,352 35,503,676 17,751,838 8,875,919 26,627,758 13,313,879 39,941,638 19,970,819 59,912,458 29,956,229 89,868,688 44,934,344 22,467,172 11,233,586 5,616,793 16,850,380 8,425,190 4,212,595 12,637,786 6,318,893 18,956,680 9,478,340 4,739,170 2,369,585 7,108,756 3,554,378 1,777,189 5,331,568 2,665,784 1,332,892 666,446 333,223 999,670 499,835 1,499,506 749,753 2,249,260

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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