λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,724,172
57,724,172
22 × 11 × 269 × 4877
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 269 × 4877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 110,633,040
Proper Divisor Sum 52,908,868
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #57724171 ← → #57724193

Radix Representation

Decimal 57724172
Binary 11011100001100110100001100 (26 bits)
Octal 0o334146414
Hexadecimal 0x370CD0C

Divisor Catalog (24)

1 2 4 11 22 44 269 538 1,076 2,959 4,877 5,918 9,754 11,836 19,508 53,647 107,294 214,588 1,311,913 2,623,826 5,247,652 14,431,043 28,862,086 57,724,172

Collatz Trajectory (207 steps to reach 1)

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

57,724,172 28,862,086 14,431,043 43,293,130 21,646,565 64,939,696 32,469,848 16,234,924 8,117,462 4,058,731 12,176,194 6,088,097 18,264,292 9,132,146 4,566,073 13,698,220 6,849,110 3,424,555 10,273,666 5,136,833 15,410,500 7,705,250 3,852,625 11,557,876 5,778,938 2,889,469 8,668,408 4,334,204 2,167,102 1,083,551 3,250,654 1,625,327 4,875,982 2,437,991 7,313,974 3,656,987 10,970,962 5,485,481 16,456,444 8,228,222 4,114,111 12,342,334 6,171,167 18,513,502 9,256,751 27,770,254 13,885,127 41,655,382 20,827,691 62,483,074 31,241,537 93,724,612 46,862,306 23,431,153 70,293,460 35,146,730 17,573,365 52,720,096 26,360,048 13,180,024

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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