λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,001,082
97,001,082
2 × 32 × 17 × 359 × 883
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 359 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 223,404,480
Proper Divisor Sum 126,403,398
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #97001081 ← → #97001083

Radix Representation

Decimal 97001082
Binary 101110010000001111001111010 (27 bits)
Octal 0o562017172
Hexadecimal 0x5C81E7A

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 102 153 306 359 718 883 1,077 1,766 2,154 2,649 3,231 5,298 6,103 6,462 7,947 12,206 15,011 15,894 18,309 30,022 36,618 45,033 54,927 90,066 109,854 135,099 270,198 316,997 633,994 950,991 1,901,982 2,852,973 5,388,949 5,705,946 10,777,898 16,166,847 32,333,694 48,500,541 97,001,082

Collatz Trajectory (218 steps to reach 1)

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

97,001,082 48,500,541 145,501,624 72,750,812 36,375,406 18,187,703 54,563,110 27,281,555 81,844,666 40,922,333 122,767,000 61,383,500 30,691,750 15,345,875 46,037,626 23,018,813 69,056,440 34,528,220 17,264,110 8,632,055 25,896,166 12,948,083 38,844,250 19,422,125 58,266,376 29,133,188 14,566,594 7,283,297 21,849,892 10,924,946 5,462,473 16,387,420 8,193,710 4,096,855 12,290,566 6,145,283 18,435,850 9,217,925 27,653,776 13,826,888 6,913,444 3,456,722 1,728,361 5,185,084 2,592,542 1,296,271 3,888,814 1,944,407 5,833,222 2,916,611 8,749,834 4,374,917 13,124,752 6,562,376 3,281,188 1,640,594 820,297 2,460,892 1,230,446 615,223

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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