λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,775,472
67,775,472
24 × 32 × 470663
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 470663
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 189,677,592
Proper Divisor Sum 121,902,120
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #67775471 ← → #67775473

Radix Representation

Decimal 67775472
Binary 100000010100010101111110000 (27 bits)
Octal 0o402425760
Hexadecimal 0x40A2BF0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 470,663 941,326 1,411,989 1,882,652 2,823,978 3,765,304 4,235,967 5,647,956 7,530,608 8,471,934 11,295,912 16,943,868 22,591,824 33,887,736 67,775,472

Collatz Trajectory (277 steps to reach 1)

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

67,775,472 33,887,736 16,943,868 8,471,934 4,235,967 12,707,902 6,353,951 19,061,854 9,530,927 28,592,782 14,296,391 42,889,174 21,444,587 64,333,762 32,166,881 96,500,644 48,250,322 24,125,161 72,375,484 36,187,742 18,093,871 54,281,614 27,140,807 81,422,422 40,711,211 122,133,634 61,066,817 183,200,452 91,600,226 45,800,113 137,400,340 68,700,170 34,350,085 103,050,256 51,525,128 25,762,564 12,881,282 6,440,641 19,321,924 9,660,962 4,830,481 14,491,444 7,245,722 3,622,861 10,868,584 5,434,292 2,717,146 1,358,573 4,075,720 2,037,860 1,018,930 509,465 1,528,396 764,198 382,099 1,146,298 573,149 1,719,448 859,724 429,862

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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