λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,744,016
57,744,016
24 × 11 × 71 × 4621
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 11 × 71 × 4621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 123,795,648
Proper Divisor Sum 66,051,632
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57743999 ← → #57744079

Radix Representation

Decimal 57744016
Binary 11011100010001101010010000 (26 bits)
Octal 0o334215220
Hexadecimal 0x3711A90

Divisor Catalog (40)

1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1,136 1,562 3,124 4,621 6,248 9,242 12,496 18,484 36,968 50,831 73,936 101,662 203,324 328,091 406,648 656,182 813,296 1,312,364 2,624,728 3,609,001 5,249,456 7,218,002 14,436,004 28,872,008 57,744,016

Collatz Trajectory (176 steps to reach 1)

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

57,744,016 28,872,008 14,436,004 7,218,002 3,609,001 10,827,004 5,413,502 2,706,751 8,120,254 4,060,127 12,180,382 6,090,191 18,270,574 9,135,287 27,405,862 13,702,931 41,108,794 20,554,397 61,663,192 30,831,596 15,415,798 7,707,899 23,123,698 11,561,849 34,685,548 17,342,774 8,671,387 26,014,162 13,007,081 39,021,244 19,510,622 9,755,311 29,265,934 14,632,967 43,898,902 21,949,451 65,848,354 32,924,177 98,772,532 49,386,266 24,693,133 74,079,400 37,039,700 18,519,850 9,259,925 27,779,776 13,889,888 6,944,944 3,472,472 1,736,236 868,118 434,059 1,302,178 651,089 1,953,268 976,634 488,317 1,464,952 732,476 366,238

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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