λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,740,648
57,740,648
23 × 7 × 61 × 16903
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 61 × 16903
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 125,765,760
Proper Divisor Sum 68,025,112
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57740647 ← → #57740689

Radix Representation

Decimal 57740648
Binary 11011100010000110101101000 (26 bits)
Octal 0o334206550
Hexadecimal 0x3710D68

Divisor Catalog (32)

1 2 4 7 8 14 28 56 61 122 244 427 488 854 1,708 3,416 16,903 33,806 67,612 118,321 135,224 236,642 473,284 946,568 1,031,083 2,062,166 4,124,332 7,217,581 8,248,664 14,435,162 28,870,324 57,740,648

Collatz Trajectory (176 steps to reach 1)

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

57,740,648 28,870,324 14,435,162 7,217,581 21,652,744 10,826,372 5,413,186 2,706,593 8,119,780 4,059,890 2,029,945 6,089,836 3,044,918 1,522,459 4,567,378 2,283,689 6,851,068 3,425,534 1,712,767 5,138,302 2,569,151 7,707,454 3,853,727 11,561,182 5,780,591 17,341,774 8,670,887 26,012,662 13,006,331 39,018,994 19,509,497 58,528,492 29,264,246 14,632,123 43,896,370 21,948,185 65,844,556 32,922,278 16,461,139 49,383,418 24,691,709 74,075,128 37,037,564 18,518,782 9,259,391 27,778,174 13,889,087 41,667,262 20,833,631 62,500,894 31,250,447 93,751,342 46,875,671 140,627,014 70,313,507 210,940,522 105,470,261 316,410,784 158,205,392 79,102,696

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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