λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,766,324
57,766,324
22 × 7 × 11 × 372 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 37^2 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 130,479,552
Proper Divisor Sum 72,713,228
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #57766309 ← → #57766333

Radix Representation

Decimal 57766324
Binary 11011100010111000110110100 (26 bits)
Octal 0o334270664
Hexadecimal 0x37171B4

Divisor Catalog (60 of 72)

1 2 4 7 11 14 22 28 37 44 74 77 137 148 154 259 274 308 407 518 548 814 959 1,036 1,369 1,507 1,628 1,918 2,738 2,849 3,014 3,836 5,069 5,476 5,698 6,028 9,583 10,138 10,549 11,396 15,059 19,166 20,276 21,098 30,118 35,483 38,332 42,196 55,759 60,236 70,966 105,413 111,518 141,932 187,553 210,826 223,036 375,106 390,313 421,652

Collatz Trajectory (176 steps to reach 1)

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

57,766,324 28,883,162 14,441,581 43,324,744 21,662,372 10,831,186 5,415,593 16,246,780 8,123,390 4,061,695 12,185,086 6,092,543 18,277,630 9,138,815 27,416,446 13,708,223 41,124,670 20,562,335 61,687,006 30,843,503 92,530,510 46,265,255 138,795,766 69,397,883 208,193,650 104,096,825 312,290,476 156,145,238 78,072,619 234,217,858 117,108,929 351,326,788 175,663,394 87,831,697 263,495,092 131,747,546 65,873,773 197,621,320 98,810,660 49,405,330 24,702,665 74,107,996 37,053,998 18,526,999 55,580,998 27,790,499 83,371,498 41,685,749 125,057,248 62,528,624 31,264,312 15,632,156 7,816,078 3,908,039 11,724,118 5,862,059 17,586,178 8,793,089 26,379,268 13,189,634

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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