λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,748,830
57,748,830
2 × 3 × 5 × 17 × 113233
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 113233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 146,751,264
Proper Divisor Sum 89,002,434
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57748799 ← → #57748843

Radix Representation

Decimal 57748830
Binary 11011100010010110101011110 (26 bits)
Octal 0o334226536
Hexadecimal 0x3712D5E

Divisor Catalog (32)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 113,233 226,466 339,699 566,165 679,398 1,132,330 1,698,495 1,924,961 3,396,990 3,849,922 5,774,883 9,624,805 11,549,766 19,249,610 28,874,415 57,748,830

Collatz Trajectory (132 steps to reach 1)

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

57,748,830 28,874,415 86,623,246 43,311,623 129,934,870 64,967,435 194,902,306 97,451,153 292,353,460 146,176,730 73,088,365 219,265,096 109,632,548 54,816,274 27,408,137 82,224,412 41,112,206 20,556,103 61,668,310 30,834,155 92,502,466 46,251,233 138,753,700 69,376,850 34,688,425 104,065,276 52,032,638 26,016,319 78,048,958 39,024,479 117,073,438 58,536,719 175,610,158 87,805,079 263,415,238 131,707,619 395,122,858 197,561,429 592,684,288 296,342,144 148,171,072 74,085,536 37,042,768 18,521,384 9,260,692 4,630,346 2,315,173 6,945,520 3,472,760 1,736,380 868,190 434,095 1,302,286 651,143 1,953,430 976,715 2,930,146 1,465,073 4,395,220 2,197,610

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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