λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,696,892
57,696,892
22 × 11 × 29 × 103 × 439
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 29 × 103 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,315,200
Proper Divisor Sum 57,618,308
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #57696889 ← → #57696907

Radix Representation

Decimal 57696892
Binary 11011100000110001001111100 (26 bits)
Octal 0o334061174
Hexadecimal 0x370627C

Divisor Catalog (48)

1 2 4 11 22 29 44 58 103 116 206 319 412 439 638 878 1,133 1,276 1,756 2,266 2,987 4,532 4,829 5,974 9,658 11,948 12,731 19,316 25,462 32,857 45,217 50,924 65,714 90,434 131,428 140,041 180,868 280,082 497,387 560,164 994,774 1,311,293 1,989,548 2,622,586 5,245,172 14,424,223 28,848,446 57,696,892

Collatz Trajectory (282 steps to reach 1)

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

57,696,892 28,848,446 14,424,223 43,272,670 21,636,335 64,909,006 32,454,503 97,363,510 48,681,755 146,045,266 73,022,633 219,067,900 109,533,950 54,766,975 164,300,926 82,150,463 246,451,390 123,225,695 369,677,086 184,838,543 554,515,630 277,257,815 831,773,446 415,886,723 1,247,660,170 623,830,085 1,871,490,256 935,745,128 467,872,564 233,936,282 116,968,141 350,904,424 175,452,212 87,726,106 43,863,053 131,589,160 65,794,580 32,897,290 16,448,645 49,345,936 24,672,968 12,336,484 6,168,242 3,084,121 9,252,364 4,626,182 2,313,091 6,939,274 3,469,637 10,408,912 5,204,456 2,602,228 1,301,114 650,557 1,951,672 975,836 487,918 243,959 731,878 365,939

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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