λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,124,103
97,124,103
34 × 29 × 173 × 239
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 29 × 173 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 151,588,800
Proper Divisor Sum 54,464,697
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #97124081 ← → #97124173

Radix Representation

Decimal 97124103
Binary 101110010011111111100000111 (27 bits)
Octal 0o562377407
Hexadecimal 0x5C9FF07

Divisor Catalog (40)

1 3 9 27 29 81 87 173 239 261 519 717 783 1,557 2,151 2,349 4,671 5,017 6,453 6,931 14,013 15,051 19,359 20,793 41,347 45,153 62,379 124,041 135,459 187,137 372,123 406,377 561,411 1,116,369 1,199,063 3,349,107 3,597,189 10,791,567 32,374,701 97,124,103

Collatz Trajectory (218 steps to reach 1)

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

97,124,103 291,372,310 145,686,155 437,058,466 218,529,233 655,587,700 327,793,850 163,896,925 491,690,776 245,845,388 122,922,694 61,461,347 184,384,042 92,192,021 276,576,064 138,288,032 69,144,016 34,572,008 17,286,004 8,643,002 4,321,501 12,964,504 6,482,252 3,241,126 1,620,563 4,861,690 2,430,845 7,292,536 3,646,268 1,823,134 911,567 2,734,702 1,367,351 4,102,054 2,051,027 6,153,082 3,076,541 9,229,624 4,614,812 2,307,406 1,153,703 3,461,110 1,730,555 5,191,666 2,595,833 7,787,500 3,893,750 1,946,875 5,840,626 2,920,313 8,760,940 4,380,470 2,190,235 6,570,706 3,285,353 9,856,060 4,928,030 2,464,015 7,392,046 3,696,023

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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