λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,105,372
9,105,372
22 × 34 × 157 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 157 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 24,088,680
Proper Divisor Sum 14,983,308
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9105361 ← → #9105377

Radix Representation

Decimal 9105372
Binary 100010101110111111011100 (24 bits)
Octal 0o42567734
Hexadecimal 0x8AEFDC

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 179 314 324 358 471 537 628 716 942 1,074 1,413 1,611 1,884 2,148 2,826 3,222 4,239 4,833 5,652 6,444 8,478 9,666 12,717 14,499 16,956 19,332 25,434 28,103 28,998 50,868 56,206 57,996 84,309 112,412 168,618 252,927 337,236 505,854 758,781 1,011,708 1,517,562 2,276,343 3,035,124 4,552,686 9,105,372

Collatz Trajectory (212 steps to reach 1)

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

9,105,372 4,552,686 2,276,343 6,829,030 3,414,515 10,243,546 5,121,773 15,365,320 7,682,660 3,841,330 1,920,665 5,761,996 2,880,998 1,440,499 4,321,498 2,160,749 6,482,248 3,241,124 1,620,562 810,281 2,430,844 1,215,422 607,711 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 11,088,070 5,544,035 16,632,106 8,316,053 24,948,160 12,474,080

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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