λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,367,100
44,367,100
22 × 52 × 29 × 15299
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 29 × 15299
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 99,603,000
Proper Divisor Sum 55,235,900
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #44367097 ← → #44367131

Radix Representation

Decimal 44367100
Binary 10101001001111110011111100 (26 bits)
Octal 0o251176374
Hexadecimal 0x2A4FCFC

Divisor Catalog (36)

1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1,450 2,900 15,299 30,598 61,196 76,495 152,990 305,980 382,475 443,671 764,950 887,342 1,529,900 1,774,684 2,218,355 4,436,710 8,873,420 11,091,775 22,183,550 44,367,100

Collatz Trajectory (191 steps to reach 1)

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

44,367,100 22,183,550 11,091,775 33,275,326 16,637,663 49,912,990 24,956,495 74,869,486 37,434,743 112,304,230 56,152,115 168,456,346 84,228,173 252,684,520 126,342,260 63,171,130 31,585,565 94,756,696 47,378,348 23,689,174 11,844,587 35,533,762 17,766,881 53,300,644 26,650,322 13,325,161 39,975,484 19,987,742 9,993,871 29,981,614 14,990,807 44,972,422 22,486,211 67,458,634 33,729,317 101,187,952 50,593,976 25,296,988 12,648,494 6,324,247 18,972,742 9,486,371 28,459,114 14,229,557 42,688,672 21,344,336 10,672,168 5,336,084 2,668,042 1,334,021 4,002,064 2,001,032 1,000,516 500,258 250,129 750,388 375,194 187,597 562,792 281,396

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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