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Ratio Atlas
Atlas › Integer Profiles › Node 78,436,732
78,436,732
22 × 11 × 197 × 9049
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 197 × 9049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 150,519,600
Proper Divisor Sum 72,082,868
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #78436717 ← → #78436733

Radix Representation

Decimal 78436732
Binary 100101011001101100101111100 (27 bits)
Octal 0o453154574
Hexadecimal 0x4ACD97C

Divisor Catalog (24)

1 2 4 11 22 44 197 394 788 2,167 4,334 8,668 9,049 18,098 36,196 99,539 199,078 398,156 1,782,653 3,565,306 7,130,612 19,609,183 39,218,366 78,436,732

Collatz Trajectory (316 steps to reach 1)

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

78,436,732 39,218,366 19,609,183 58,827,550 29,413,775 88,241,326 44,120,663 132,361,990 66,180,995 198,542,986 99,271,493 297,814,480 148,907,240 74,453,620 37,226,810 18,613,405 55,840,216 27,920,108 13,960,054 6,980,027 20,940,082 10,470,041 31,410,124 15,705,062 7,852,531 23,557,594 11,778,797 35,336,392 17,668,196 8,834,098 4,417,049 13,251,148 6,625,574 3,312,787 9,938,362 4,969,181 14,907,544 7,453,772 3,726,886 1,863,443 5,590,330 2,795,165 8,385,496 4,192,748 2,096,374 1,048,187 3,144,562 1,572,281 4,716,844 2,358,422 1,179,211 3,537,634 1,768,817 5,306,452 2,653,226 1,326,613 3,979,840 1,989,920 994,960 497,480

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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