λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,765,006
57,765,006
2 × 32 × 13 × 23 × 10733
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 23 × 10733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 140,658,336
Proper Divisor Sum 82,893,330
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57764999 ← → #57765007

Radix Representation

Decimal 57765006
Binary 11011100010110110010001110 (26 bits)
Octal 0o334266216
Hexadecimal 0x3716C8E

Divisor Catalog (48)

1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1,794 2,691 5,382 10,733 21,466 32,199 64,398 96,597 139,529 193,194 246,859 279,058 418,587 493,718 740,577 837,174 1,255,761 1,481,154 2,221,731 2,511,522 3,209,167 4,443,462 6,418,334 9,627,501 19,255,002 28,882,503 57,765,006

Collatz Trajectory (176 steps to reach 1)

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

57,765,006 28,882,503 86,647,510 43,323,755 129,971,266 64,985,633 194,956,900 97,478,450 48,739,225 146,217,676 73,108,838 36,554,419 109,663,258 54,831,629 164,494,888 82,247,444 41,123,722 20,561,861 61,685,584 30,842,792 15,421,396 7,710,698 3,855,349 11,566,048 5,783,024 2,891,512 1,445,756 722,878 361,439 1,084,318 542,159 1,626,478 813,239 2,439,718 1,219,859 3,659,578 1,829,789 5,489,368 2,744,684 1,372,342 686,171 2,058,514 1,029,257 3,087,772 1,543,886 771,943 2,315,830 1,157,915 3,473,746 1,736,873 5,210,620 2,605,310 1,302,655 3,907,966 1,953,983 5,861,950 2,930,975 8,792,926 4,396,463 13,189,390

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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