λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,940,324
44,940,324
22 × 3 × 11 × 13 × 26189
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13 × 26189
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 123,197,760
Proper Divisor Sum 78,257,436
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #44940323 ← → #44940331

Radix Representation

Decimal 44940324
Binary 10101011011011110000100100 (26 bits)
Octal 0o253336044
Hexadecimal 0x2ADBC24

Divisor Catalog (48)

1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1,716 26,189 52,378 78,567 104,756 157,134 288,079 314,268 340,457 576,158 680,914 864,237 1,021,371 1,152,316 1,361,828 1,728,474 2,042,742 3,456,948 3,745,027 4,085,484 7,490,054 11,235,081 14,980,108 22,470,162 44,940,324

Collatz Trajectory (279 steps to reach 1)

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

44,940,324 22,470,162 11,235,081 33,705,244 16,852,622 8,426,311 25,278,934 12,639,467 37,918,402 18,959,201 56,877,604 28,438,802 14,219,401 42,658,204 21,329,102 10,664,551 31,993,654 15,996,827 47,990,482 23,995,241 71,985,724 35,992,862 17,996,431 53,989,294 26,994,647 80,983,942 40,491,971 121,475,914 60,737,957 182,213,872 91,106,936 45,553,468 22,776,734 11,388,367 34,165,102 17,082,551 51,247,654 25,623,827 76,871,482 38,435,741 115,307,224 57,653,612 28,826,806 14,413,403 43,240,210 21,620,105 64,860,316 32,430,158 16,215,079 48,645,238 24,322,619 72,967,858 36,483,929 109,451,788 54,725,894 27,362,947 82,088,842 41,044,421 123,133,264 61,566,632

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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