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Ratio Atlas
Atlas › Integer Profiles › Node 57,728,752
57,728,752
24 × 701 × 5147
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 701 × 5147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 112,030,776
Proper Divisor Sum 54,302,024
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57728729 ← → #57728761

Radix Representation

Decimal 57728752
Binary 11011100001101111011110000 (26 bits)
Octal 0o334157360
Hexadecimal 0x370DEF0

Divisor Catalog (20)

1 2 4 8 16 701 1,402 2,804 5,147 5,608 10,294 11,216 20,588 41,176 82,352 3,608,047 7,216,094 14,432,188 28,864,376 57,728,752

Collatz Trajectory (225 steps to reach 1)

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

57,728,752 28,864,376 14,432,188 7,216,094 3,608,047 10,824,142 5,412,071 16,236,214 8,118,107 24,354,322 12,177,161 36,531,484 18,265,742 9,132,871 27,398,614 13,699,307 41,097,922 20,548,961 61,646,884 30,823,442 15,411,721 46,235,164 23,117,582 11,558,791 34,676,374 17,338,187 52,014,562 26,007,281 78,021,844 39,010,922 19,505,461 58,516,384 29,258,192 14,629,096 7,314,548 3,657,274 1,828,637 5,485,912 2,742,956 1,371,478 685,739 2,057,218 1,028,609 3,085,828 1,542,914 771,457 2,314,372 1,157,186 578,593 1,735,780 867,890 433,945 1,301,836 650,918 325,459 976,378 488,189 1,464,568 732,284 366,142

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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