λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,142,148
97,142,148
22 × 32 × 172 × 9337
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17^2 × 9337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 260,875,706
Proper Divisor Sum 163,733,558
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #97142147 ← → #97142167

Radix Representation

Decimal 97142148
Binary 101110010100100010110000100 (27 bits)
Octal 0o562442604
Hexadecimal 0x5CA4584

Divisor Catalog (54)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1,156 1,734 2,601 3,468 5,202 9,337 10,404 18,674 28,011 37,348 56,022 84,033 112,044 158,729 168,066 317,458 336,132 476,187 634,916 952,374 1,428,561 1,904,748 2,698,393 2,857,122 5,396,786 5,714,244 8,095,179 10,793,572 16,190,358 24,285,537 32,380,716 48,571,074 97,142,148

Collatz Trajectory (138 steps to reach 1)

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

97,142,148 48,571,074 24,285,537 72,856,612 36,428,306 18,214,153 54,642,460 27,321,230 13,660,615 40,981,846 20,490,923 61,472,770 30,736,385 92,209,156 46,104,578 23,052,289 69,156,868 34,578,434 17,289,217 51,867,652 25,933,826 12,966,913 38,900,740 19,450,370 9,725,185 29,175,556 14,587,778 7,293,889 21,881,668 10,940,834 5,470,417 16,411,252 8,205,626 4,102,813 12,308,440 6,154,220 3,077,110 1,538,555 4,615,666 2,307,833 6,923,500 3,461,750 1,730,875 5,192,626 2,596,313 7,788,940 3,894,470 1,947,235 5,841,706 2,920,853 8,762,560 4,381,280 2,190,640 1,095,320 547,660 273,830 136,915 410,746 205,373 616,120

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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