λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,783,308
57,783,308
22 × 112 × 277 × 431
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11^2 × 277 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 111,809,376
Proper Divisor Sum 54,026,068
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57783293 ← → #57783329

Radix Representation

Decimal 57783308
Binary 11011100011011010000001100 (26 bits)
Octal 0o334332014
Hexadecimal 0x371B40C

Divisor Catalog (36)

1 2 4 11 22 44 121 242 277 431 484 554 862 1,108 1,724 3,047 4,741 6,094 9,482 12,188 18,964 33,517 52,151 67,034 104,302 119,387 134,068 208,604 238,774 477,548 1,313,257 2,626,514 5,253,028 14,445,827 28,891,654 57,783,308

Collatz Trajectory (269 steps to reach 1)

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

57,783,308 28,891,654 14,445,827 43,337,482 21,668,741 65,006,224 32,503,112 16,251,556 8,125,778 4,062,889 12,188,668 6,094,334 3,047,167 9,141,502 4,570,751 13,712,254 6,856,127 20,568,382 10,284,191 30,852,574 15,426,287 46,278,862 23,139,431 69,418,294 34,709,147 104,127,442 52,063,721 156,191,164 78,095,582 39,047,791 117,143,374 58,571,687 175,715,062 87,857,531 263,572,594 131,786,297 395,358,892 197,679,446 98,839,723 296,519,170 148,259,585 444,778,756 222,389,378 111,194,689 333,584,068 166,792,034 83,396,017 250,188,052 125,094,026 62,547,013 187,641,040 93,820,520 46,910,260 23,455,130 11,727,565 35,182,696 17,591,348 8,795,674 4,397,837 13,193,512

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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