λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,438,380
44,438,380
22 × 5 × 7 × 532 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 53^2 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 109,664,352
Proper Divisor Sum 65,225,972
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #44438377 ← → #44438389

Radix Representation

Decimal 44438380
Binary 10101001100001001101101100 (26 bits)
Octal 0o251411554
Hexadecimal 0x2A6136C

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 28 35 53 70 106 113 140 212 226 265 371 452 530 565 742 791 1,060 1,130 1,484 1,582 1,855 2,260 2,809 3,164 3,710 3,955 5,618 5,989 7,420 7,910 11,236 11,978 14,045 15,820 19,663 23,956 28,090 29,945 39,326 41,923 56,180 59,890 78,652 83,846 98,315 119,780 167,692 196,630 209,615 317,417 393,260 419,230

Collatz Trajectory (173 steps to reach 1)

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

44,438,380 22,219,190 11,109,595 33,328,786 16,664,393 49,993,180 24,996,590 12,498,295 37,494,886 18,747,443 56,242,330 28,121,165 84,363,496 42,181,748 21,090,874 10,545,437 31,636,312 15,818,156 7,909,078 3,954,539 11,863,618 5,931,809 17,795,428 8,897,714 4,448,857 13,346,572 6,673,286 3,336,643 10,009,930 5,004,965 15,014,896 7,507,448 3,753,724 1,876,862 938,431 2,815,294 1,407,647 4,222,942 2,111,471 6,334,414 3,167,207 9,501,622 4,750,811 14,252,434 7,126,217 21,378,652 10,689,326 5,344,663 16,033,990 8,016,995 24,050,986 12,025,493 36,076,480 18,038,240 9,019,120 4,509,560 2,254,780 1,127,390 563,695 1,691,086

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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