λ
Ratio Atlas
Atlas › Integer Profiles › Node 78,038,720
78,038,720
26 × 5 × 243871
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 243871
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 185,830,464
Proper Divisor Sum 107,791,744
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #78038717 ← → #78038759

Radix Representation

Decimal 78038720
Binary 100101001101100011011000000 (27 bits)
Octal 0o451543300
Hexadecimal 0x4A6C6C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 243,871 487,742 975,484 1,219,355 1,950,968 2,438,710 3,901,936 4,877,420 7,803,872 9,754,840 15,607,744 19,509,680 39,019,360 78,038,720

Collatz Trajectory (254 steps to reach 1)

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

78,038,720 39,019,360 19,509,680 9,754,840 4,877,420 2,438,710 1,219,355 3,658,066 1,829,033 5,487,100 2,743,550 1,371,775 4,115,326 2,057,663 6,172,990 3,086,495 9,259,486 4,629,743 13,889,230 6,944,615 20,833,846 10,416,923 31,250,770 15,625,385 46,876,156 23,438,078 11,719,039 35,157,118 17,578,559 52,735,678 26,367,839 79,103,518 39,551,759 118,655,278 59,327,639 177,982,918 88,991,459 266,974,378 133,487,189 400,461,568 200,230,784 100,115,392 50,057,696 25,028,848 12,514,424 6,257,212 3,128,606 1,564,303 4,692,910 2,346,455 7,039,366 3,519,683 10,559,050 5,279,525 15,838,576 7,919,288 3,959,644 1,979,822 989,911 2,969,734

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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