λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,734,440
57,734,440
23 × 5 × 409 × 3529
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 409 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 130,257,000
Proper Divisor Sum 72,522,560
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57734419 ← → #57734441

Radix Representation

Decimal 57734440
Binary 11011100001111010100101000 (26 bits)
Octal 0o334172450
Hexadecimal 0x370F528

Divisor Catalog (32)

1 2 4 5 8 10 20 40 409 818 1,636 2,045 3,272 3,529 4,090 7,058 8,180 14,116 16,360 17,645 28,232 35,290 70,580 141,160 1,443,361 2,886,722 5,773,444 7,216,805 11,546,888 14,433,610 28,867,220 57,734,440

Collatz Trajectory (176 steps to reach 1)

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

57,734,440 28,867,220 14,433,610 7,216,805 21,650,416 10,825,208 5,412,604 2,706,302 1,353,151 4,059,454 2,029,727 6,089,182 3,044,591 9,133,774 4,566,887 13,700,662 6,850,331 20,550,994 10,275,497 30,826,492 15,413,246 7,706,623 23,119,870 11,559,935 34,679,806 17,339,903 52,019,710 26,009,855 78,029,566 39,014,783 117,044,350 58,522,175 175,566,526 87,783,263 263,349,790 131,674,895 395,024,686 197,512,343 592,537,030 296,268,515 888,805,546 444,402,773 1,333,208,320 666,604,160 333,302,080 166,651,040 83,325,520 41,662,760 20,831,380 10,415,690 5,207,845 15,623,536 7,811,768 3,905,884 1,952,942 976,471 2,929,414 1,464,707 4,394,122 2,197,061

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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