λ
Ratio Atlas
Atlas › Integer Profiles › Node 84,188,024
84,188,024
23 × 372 × 7687
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 37^2 × 7687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 162,255,240
Proper Divisor Sum 78,067,216
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #84188017 ← → #84188057

Radix Representation

Decimal 84188024
Binary 101000001001001101101111000 (27 bits)
Octal 0o501115570
Hexadecimal 0x5049B78

Divisor Catalog (24)

1 2 4 8 37 74 148 296 1,369 2,738 5,476 7,687 10,952 15,374 30,748 61,496 284,419 568,838 1,137,676 2,275,352 10,523,503 21,047,006 42,094,012 84,188,024

Collatz Trajectory (192 steps to reach 1)

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

84,188,024 42,094,012 21,047,006 10,523,503 31,570,510 15,785,255 47,355,766 23,677,883 71,033,650 35,516,825 106,550,476 53,275,238 26,637,619 79,912,858 39,956,429 119,869,288 59,934,644 29,967,322 14,983,661 44,950,984 22,475,492 11,237,746 5,618,873 16,856,620 8,428,310 4,214,155 12,642,466 6,321,233 18,963,700 9,481,850 4,740,925 14,222,776 7,111,388 3,555,694 1,777,847 5,333,542 2,666,771 8,000,314 4,000,157 12,000,472 6,000,236 3,000,118 1,500,059 4,500,178 2,250,089 6,750,268 3,375,134 1,687,567 5,062,702 2,531,351 7,594,054 3,797,027 11,391,082 5,695,541 17,086,624 8,543,312 4,271,656 2,135,828 1,067,914 533,957

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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