λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,488,018
97,488,018
2 × 32 × 149 × 163 × 223
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 149 × 163 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 214,905,600
Proper Divisor Sum 117,417,582
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #97487989 ← → #97488029

Radix Representation

Decimal 97488018
Binary 101110011111000110010010010 (27 bits)
Octal 0o563706222
Hexadecimal 0x5CF8C92

Divisor Catalog (48)

1 2 3 6 9 18 149 163 223 298 326 446 447 489 669 894 978 1,338 1,341 1,467 2,007 2,682 2,934 4,014 24,287 33,227 36,349 48,574 66,454 72,698 72,861 99,681 109,047 145,722 199,362 218,094 218,583 299,043 327,141 437,166 598,086 654,282 5,416,001 10,832,002 16,248,003 32,496,006 48,744,009 97,488,018

Collatz Trajectory (169 steps to reach 1)

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

97,488,018 48,744,009 146,232,028 73,116,014 36,558,007 109,674,022 54,837,011 164,511,034 82,255,517 246,766,552 123,383,276 61,691,638 30,845,819 92,537,458 46,268,729 138,806,188 69,403,094 34,701,547 104,104,642 52,052,321 156,156,964 78,078,482 39,039,241 117,117,724 58,558,862 29,279,431 87,838,294 43,919,147 131,757,442 65,878,721 197,636,164 98,818,082 49,409,041 148,227,124 74,113,562 37,056,781 111,170,344 55,585,172 27,792,586 13,896,293 41,688,880 20,844,440 10,422,220 5,211,110 2,605,555 7,816,666 3,908,333 11,725,000 5,862,500 2,931,250 1,465,625 4,396,876 2,198,438 1,099,219 3,297,658 1,648,829 4,946,488 2,473,244 1,236,622 618,311

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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